if you dismiss the books and only take into account the targaryens we've seen in the show universe, she still has no reason to do that.
she's a hightower and she got three children out of four with targaryen features while only one with hightower features and he can fly a dragon so he's obviously viserys'. it's more than statistically probable. akotsk's targs also have darker hair because they started marrying more into other houses instead of just inbreeding.
meanwhile rhaenyra had three white boys with dark hair one after another when their parents are valyrians with white hair and the dad is black. there's a problem in the equation at a certain point, hence alicent's "do keep trying, sir laenor, soon or late, you may get one who looks like you."
two completely different situations. alicent didn't need to do shit, just to call out what rhaenyra was putting out there by herself.
the daeron/alicent dynamic already pisses me off in that show so don't add some unnecessary "she lowkey sent her little boy away to own rhaenyra" bs now.