Our boys went to Belknap for several years. Our daughter ended up at Camp Huckins on Ossipee for many years, several as a camper, and many more as a counselor.
All of them have very fond memories of their time at camp, despite always having a lakeside home to return to.
As for why mom and dad sent them to camp? The reasons have been stated earlier. I had attended/worked at Bald Peak Caddy Camp in my teens and it remains one of my "happy places" decades later.
Reason two: also stated earlier... it was a very nice vacation for mom and dad