I have been to a couple gyms where the trainers were not well educated, and the technique for lifts were rather poor. However, one of the Crossfit gym owners in our area, and my favorite so far, was a trainer for professional sports teams. It's hard to say that someone like that has the experience (and college degree) is going to let dangerous things happen. If you signed up for his gym, you had to take a two week course which covered proper technique for most of the lifts and exercises before you ever did a real WOD.
I've also seen, in weight rooms, guys pumping each other up while executing terrible technique on lifts that we consider normal (i.e. bench press, squat, cleans). Also, I'd like to know if most schools have access to a professional strength training coach with wrestling experience.
There are pros and cons to everything. You, or the wrestler, have to be wise and knowledgeable about what programs or gyms that you (general you) decide to invest in.