The answer is “not exactly”. Composite Higgs bosons have properties slightly different from those of the Higgs boson predicted in the Standard Model of particle physics. This offers thus an indirect way to test compositeness in data, and verify how much compositeness is allowed in the Higgs boson.

When you are trying to prove new theories and models like this, are you usually able to change the parameters of the collisions done in the LHC or do you need to filter the results from the existing and ongoing collisions ?

I feel like you answered it in the following paragraphs, but is it something relatively easy to do for scientists ?