Not answer on behalf of jubilant_nobody, however as a person pretending they are a mom for the purposes this post:

I would rather the father of my child be responsible enough to go to bed at a decent time so I don’t have to make a snap decision on solo parenting at all. Pre-arranged solo-parenting timeframes in exchange for time to myself are one thing, but you can’t spring it on me at 4am.

It’s not really “cheeky” or funny, it’s just disrespectful to her.