If she's getting all the sleep that she needs under this scenario, then it would make sense that she's staying awake. Every kid's sleep requirements are a little different, but the standard recommendation for 2yos is 11-14 hours daily. Back of the envelope calculation says your DD is getting at least 11.5 hours a day even when she stays up late, which is right in that wheelhouse.
Have you considered eliminating the afternoon nap? Or at least limiting the amount of time she gets for it?
Good advice in your simulpost, Dude.
