DD has only gone to commercial camps. For her age, and what she wants, that seemed to be better for us.
She's at IGC right now. She needs the schedule of a place like that, and I'm a big fan of the supervision she gets. AND she loves the food. And she loves the "camp" experience that she gets while there that wouldn't be part of a university camp.
We have friends whose daughter is 2 years older, and last year she went to a university camp. While the gymnastics was good, the supervision after gym was over seemed to have been marginal.
The fact is, I suspect this will be her last year at a place like IGC. I also looked at taking her for a week to another gym. But the reality is at her level (training L9 at age 9), one week away isn't going to get her much, and it'd take someone a while to figure her out, and her coaches a while to get her back to their way when she returned. There'd likely be little benefit unless it was some world class coach that could instantly look at and see problems and have the time to correct them. If I could find that, I'd be in heaven.
So maybe a few years from now if I really want her scouted and I think that that is something that might actually occur, I'll look at a college camp. But for the two weeks off she gets, I think I'm taking her to D.R. or Cuba or a cruise next summer for the same price as IGC and related costs, and really let her have a break.