SO confusing hey. I say just roll with whatever she asks for.
I will add that my DD when she was about 3months old was always fussing, and she kept making this loud grunting, groaning sound. People told me it was just her learning a new noise, but eventually I realised she was in pain from me overfeeding her! She was getting way too much foremilk. So I just fed her off one boob for several feeds, then swapped. Problem solved!
I don't think that's what's happening with your baby though, i think your baby is just being normal!
But if you hear that pushing grunting groan noise, you'll know what might be the problem!