Here's a story showing just the opposite. When my son played in our local rec league, he hated it when I would work his games, because he knew I wouldn't let anything go that he did. In fact, in two different years, his coaches both told me they thought other refs let some stuff of his go because they thought I might come down hard on them if they called it tight on him, since I was the ref coordinator!
All the other coaches knew that if there was a relative of a ref playing, they could request another ref, but none of them ever did of me, whether it was my son or my nephew playing, but they frequently did for other refs. I don't know if that was a compliment to my fairness, or if they were just afraid to ask me.
I guess my son mellowed because eventually he coached his cousin's team and he never asked to replace me if I was working the game. And no - I never ejected him or even gave him a T. As a coach, he was an angel.
In fact, a local TV station did a story on him coaching, since he was only in eighth grade (it was a fourth grade team).