Kinda sounds like they want the fun parts like the child holding you enjoy with none of the bad parts, which I don't think you could consider yourself a father for, more like an uncle.

TBQH, I should be able to accomplish the day-to-day tasks required to keep a household from sliding into chaos within 10-12 hours in a day. That doesn't mean that the spouse that works outside the home won't have to help with irregular chores. But hey, if I sit around on my ass all day and play video games while my wife is at work, and then expect that we're going to work together to get general household shit done when she gets home, then I'm a huge asshole.