imma be self centered and ask you how madge see katniss, if that changes because she's the face of the rebellion, that the d12 is bomb because of what she did in the arena, that sort of thing :)
THANK YOU FOR ASKING THIS, it’s such a good question!
so - - - madge genuinely likes katniss from the very beginning. it’s pretty clearly stated within the first few pages of the first book that they are, essentially, the other’s only friend at school. they’re kind of kindred spirits, and it’s something she recognizes from the very start. and then the time between the games and the quarter quell bring them even closer, and madge only grows to like katniss more: to view her, truly, as a best friend. she’s hearbroken when katniss is reaped again (though not, it should be said, surprised) and they don’t get so much as a goodbye.
but she’s so proud of katniss through the buildup to the quell, and in the arena itself! she watches all of it closely, and she doesn’t miss the line of victors holding hands before all of panem.
as far as the firebombings go, she doesn’t blame anyone but the capitol for those. i really don’t think she holds much blame for katniss at all. she has a pretty clear-eyed view of what the capitol is capable of, what it can do. what it does do.
that being said, though, i do think madge gets a little annoyed with katniss at various points throughout the rebellion, in ways she wouldn’t have in 12. i think she misreads the way katniss is dealing with her own trauma while still being tangled up in dealing with her own. i think she sees katniss, particularly at first, as not trying very hard as the mockingjay, even after she agrees to do it. and i think she sees a lot of the katniss-running-off-and-hiding thing as tiring, and it’s just a disconnect in how they process/display things. madge is pretty stoic, she can close her expressions off and deeply internalizes everything to a greater extent than even katniss does. in fact, to people who dont know her in thirteen, she probably comes across as pretty flat/emotionless most of the time, even though she’s deeply grieving.
i really don’t see any of this ever coming to any sort of unpleasantness, though. i think even madge’s annoyance/misunderstanding is something she internalizes, and she hardly ever lets it show. there are some tells: a particularly heavy sigh, a phrase that’s more clipped than usual. but in general, she’s still madge, and she still understands a lot of what katniss is going through.
and all of that is entirely mitigated by the fact that katniss is one of the few people madge actually wants to be around in 13. one of the few people she fully trusts. she is, in fact, pretty protective/defensive when it comes to katniss, in her own quiet way.
madge 100% considers katniss her best friend, always. that really doesn’t change throughout the rebellion or even after (though i doubt they get to speak much for a while afterward, with katniss still recovering, and madge unwilling to go back to twelve - - even for katniss - - at least for a while).