Pretty interesting idea to have two different alternate ways to play, though I feel the egg may have a little bit easier time to play. The chicken side of gameplay has a very inconsistent float, by that I mean the float FEELS like it should be able to go longer and higher, but stops short. That, and the fact that collecting eggs as chicken, having a large mass of them affects your jump/float and sometimes leads to clipping through platforms.
Otherwise, a fun little exercise on the theoretical question. Good stuff!