I think what parents really need to pay attention to is whether the *level* of the camp will fit with the kids. I call the camps before we sign up and let them know what we are looking for and ask how they accommodate students who are way above their age peers' levels. Some people will be quite happy to let me know that they look forward to having such kids and they have ways to challenge them. Others will give you standard answers such as "we encourage team work and social interactions so all kids will do age appropriate activities" etc. Then you know which camp not to sign up for!
The problem I found was my son grew bored of camps designed for 6-12 year olds at much younger than 12. Science camps sounded fun on paper, but in reality they tended to do the same science "kit" experiments over and over. It can help to look for camps designed for gifted kids if you have any in your area or ones that are also have programs for older kids.