no SERIOUSLY like. look at the facts okay.
developed a crush on house in s1 after several moments of him reaching out to her with genuine empathy and care, her realizing they were similarly damaged drawing her to him.
cameron then spent some time idolizing and idealizing house as a heroic figure who always does what’s right, who she specifically understands; i do think there was an element of ego here, she liked being the one who “got” house, who he cared about. cameron’s self worth isn’t that high which we don’t talk about much.
however, after their date? like, look at that date. house doesn’t just reject her; house is pretty cruel. he tells her she’s incapable of love and a selfish fuckup. and...
by honeymoon, cameron is speculating that maybe house just isn't capable of love, period. when she realizes this isn't true and he definitely feels a way about stacy, cameron gives up entirely. ("I thought you were too screwed up to love anyone. I was wrong.") cameron never shows a serious interest in house ever again.
she kicks off s2 with a noticeable crush on sebastian charles in tb or not tb. a few weeks later, she hooks up with chase. in s3's meaning, house asks her out, and she stammers and tells him it's not a good idea since they work together -- something that never bothered her before, and will not bother her with chase; house is correct that cameron is just looking for an out because she's not interested! then cameron gets involved with chase, and, watch this space for that essay, but again she acts VERY differently with chase than house. she's proactive. she pursues him. she quits her job -- literally doesn't want to work for house anymore if chase isn't around.
she does kiss house in half wit, but this never goes anywhere. chase speculates she wants to make house jealous, but there simply is no evidence of this: she's even more flirty with chase when house is stuck on an airplane, she's furious at the idea that house wants them to break up in fetal position (shouldn't she be happy house is interfering and be overanalyzing it as a sign of interest?).
in season four, cameron admits that she misses the rush and puzzles of diagnostics, and has some trouble letting go. she always emphasizes that she doesn't miss house, and whenever he offers her a job back or accuses her of trying to come back, she ignores him.
by season five, cameron avoiding chase to linger in diagnostics is weird and out of character enough that everyone is worried about it, like, it's considered alarmingly unusual for cameron to be hanging around house.
by season six, thirteen and house actually make a note of the fact that cameron hasn't visited him or checked in one since he got out of mayfield; she truly just doesn't give a fuck anymore, and by teamwork she's so furious at house's games that she leaves princeton forever.
there is a clear progression here, and it's not a good one for house. cameron goes through six years of giving less and less of a shit about him: she is largely over him by s2, completely done by s3, and utterly apathetic by s5. i'm sure chase and that relationship is part of it -- she has other things going on -- but i'm really not sure things would be different if she hadn't gotten involved: cameron was single in s2 and most of s3, and also showed no interest.
but house, on the other hand???
was Clearly Interested in cameron in s1, both as a mystery/puzzle but also as a person. he asked her on the monster truck date; he kept reaching out to her and was gentle with her in a way he wasn't anyone else. he got her a christmas present. i don't think house wanted to date her, like, he wasn't at all emotionally ready/capable of a relationship, but he was interested. literally everyone from chase to wilson notices it.
their date goes terribly, because cameron pushes him too hard and house lashes out. as mentioned, cameron starts to get over house after this. but house?
he continues to do his s1 thing with her. he keeps reminding her that she likes him/is "supposed" to like him ("why can't you be like the other girls who have a thing for me" "when you reach puberty, give me a call," so many comments), bragging about her crush on him ("i could have hit that"), and in other ways treating the idea of cameron liking him as a given.
he spends literally all of no reason imagining her pining, imagining them with sexual tension, imagining undressing her and having metaphorical sex with her.
he also keeps... i don't know how to phrase it, having little Moments? he wants to sit right next to her in lines in the sand and thinks she has 'pretty hair' when he's high. he ogles her in all in. house is pretty openly attracted to cameron and does not hide it.
he also! god, this drives me crazy. house likes her. yes, he finds her annoying sometimes. but how fucking often does house take her advice? go to her for her take and then do it? he tries to get her to help fix his relationship with wilson in dying changes everything. he hangs out in the er. he seeks cameron out. he gets into moral debates with her that he instigates. when cuddy isn't available, he plays games with cameron (the flat screen tv debacle of s4, etc). house is almost always the one instigating these things; cameron rarely does.
house doesn't just tolerate that kiss in half wit. he kisses back with enthusiasm. compare hunting. when cameron abruptly kisses chase, he kisses back for a second before pulling away and questioning the situation; she has to convince him to roll with it before he kisses her again. house has no qualms, he is all about making out with her.
house doesn't show any jealousy over chase, contrary to chase's suspicions, but he does continue to fixate on cameron. he invites her back to diagnostics so many times after she leaves, offers to fire someone for her, continues to joke about her crush on him and them in a relationship. compare the number of times he offers chase a job again (zero). in season six, he even assumes the only reason cameron, a department head, isn't working for him is chase, that if she and chase split up she would fall back into his (office's) arms. this is silly to the point of delusional. "you only quit because of chase," he tells her, which is true, but not in the way he is implying: chase didn't ask or require her to quit her job to date him, you know?
hallucination amber even talks about this: house is worried he almost killed chase because he's jealous of cameron being with chase. like, that's his first thought: not "do i want chase dead" but "do i want cameron for myself?" he/his subconscious decide no, not really, but amber does point out that he is into the idea of cameron liking him. to the point that house spends years imagining her as pining.
he's also not over it by season eight. cameron is part of house's gallery of regrets in the finale: he ranks her as a loss equal to kutner, amber, and stacy. cameron isn't dead! cameron is doing fine with her life! but to house, again, he imagines her as... vengeful, as someone he lost or failed, as someone intrinsic to him, despite the real cameron having moved on years ago.
house is deeply fucking invested in cameron. he likes her. he likes the idea of her liking him. he may or may not have "feelings" for her, but considering just how flirtatious and invested in the idea of her wanting him he is, i think it's very much may. i don't think this means house wants to date her. he doesn't really pursue her. but he is kind of obsessed with cameron! and after s1, she really, truly doesn't feel the same. we are often told "cameron is in love with house," but you know who is the one to say that? not cameron: house. and why, do you think, does he want so badly for this to be true?