I was a stay-at-home-father (recalling Cobain’s “I tried hard to have a father, but instead I had a dad…” from Serve The Servants puts me off “dad”) for our son’s first two years. Whenever my father called, he’d ask about the baby; we’d chat… he would invariably close every conversation asking, “So, are you doing anything…?”
Interspersed with the many compliments people, especially women, proffer the involved father is the invariable: “Babysitting, are you?”
This was an entire generation past. Doubtless there are many great things out for full-time, single & stay-at-home fathers, but the grass is always greener, too:)