When I was a kid, my parents did not attend Cub Scout activities except pack meetings and potlucks. The DL and ADL were the only two adults I was familiar with. They did everything.
When my son was in Cub Scouts, he and I attended Tiger activities together along with all the other boys and their parent(s) After that I didn't attend any more den meetings with him, only pack meetings because I was awards chair of the committee.
I was ASM when he was in Boy Scouts and I stayed on after he quit scouting at the Star rank.
I guess it was somewhere after Tigers that we "went our separate ways".
I have no idea when and where Cub Scouts became "family", but I did notice the "parent involvement" aspects of Boy Scouts has been creeping in in recent years.
Whereas I wouldn't call it babysitting, I find it strange that parents somehow feel the need to be bonding with their children in the Boy Scout program when they have far more time if they drag their kid out from in front of the TV/computer and do these things at home. As has been mentioned, join the YMCA if you wish to have family bonding time at a membership expense. Don't try and make all other programs a generic YMCA program. BSA is supposed to be a young man's opportunity to grow into adulthood, not drag his family along with him. Growing int adulthood holds quite a bit of separation and independence FROM the family, not a mere continuation of it on into adulthood.
In some cultures the onset of adulthood occurs around 12-13 years of age, in our culture it's been pushed back well into the 20's. Legally it is 18, but that's restricted to just certain areas. If one can be on their parent's health insurance until 26, that's still one apron string that hasn't been loosened.