I will start with, I would.
I remember my watching football with my father in law and his brothers (Kates uncles). Some random Penn State game back in 2002 or 2003. They each had young boys and started talking about they would never sign the waiver for kids to play football for their local high schools when they reached that age.
I said I would let mine, but did not really get into it with them. My only defense was, that I played football in High School and that I thought it helped me graduate high school. The dicsipline and peer pressure to go to and do well in school is another key reason I would.
Football is more of a team game then many of the other sports.
I understand the other side of this argument. But I think the benefits and lessons learned from playing football out weigh the individual kid's parents concerns. IMO.
Let's discuss. There are no wrong answers, these are all personal preferences to your own family. And Please no one should think anyone is telling someone how to raise their kids.