I have coached the son of a former NFL player, the sons of a handful of high D1 players and the son of a college coach, and I can honestly tell you that in all instances, the parents and kids were a joy to have on the team. After the first 15 minutes of the first practice, no one even notices. I would make a point of soliciting their feedback on a few things as the season would progress, and in most every instance they would either give excellent feedback, from which I learned a lot, or they would say something kind and leave the decision to me.
All parents want their kids to play in a safe, positive environment and our program provides that. The tactics and the other stuff they really don't care about. I had one suboptimal situation where a former high D1 parent wanted me to keep playing his kid in a 66-0 rout and I told him that I didn't see how that could be good for his son in any way, that he would learn far more in our practices than that particular game situation. The dad said "if he comes to practice, he should get to play" (his son had already scored 4 touchdowns). Ironically, his son was very into coaching up the guys who were about to go in who didn't see a lot of playing time and was a huge cheering section for them. Other than that, it has honestly been a net positive.