I was forced to go to either day camp or summer camp every year and absolutely hated it.
The funny thing is, when I finally got the courage to tell my parents that I didn't want to go, instead of being upset, which I thought they would be, they were relieved because they had been spending a lot of money to send me to camp, and now they didn't have to. If I had only told them after the first year that I didn't want to go back, I would have been happier and they would have been happier. They thought I wanted to go, and I thought they wanted me to go

So it would depend on the child, and also on which camp you sent them to. I was sent to camp with a lot of spoiled upper middle class girls who would tease me about my clothes, etc.
There was an Irish counselor who was sent to my camp on some kind of exchange program. The other girls teased her about her accent so much that one day she just ran off in tears. These are the kind of girls I got sent to camp with.
So you could probably send Jess for a summer and see how she likes it, but make sure she doesn't feel pressured about it.