How does the daughter feel about having a father she sees so infrequently? Is it hard on her? Does she wonder why he won't come help her when she calls him out of the blue over some emergency? Now that she's older, would it be easier for her to know the truth?
We don't know. What I do know is eventually she'll find out, somehow. What happens then?
Bullying also has its own share of research (https://www.nichd.nih.gov/health/topics/bullying/conditionin...). It will not be easy to get a fair evaluation of harm vs harm mitigation.
So the real question is: is the 4-hours a week of fake fatherhood better than being a bullied, emotionally traumatized kid throughout some of the hardest moments of growing up?
Its a fake, rent-a-father for 4 hours a week. But that fake fatherhood is probably way better than no fatherhood at all.
Its a difficult moral question for sure.