I was thinking less about penalization or individual application decisions, and more about aggregate or anonymized datasets for institutions and governing bodies (College Board, Common App, etc.) to inform their policies.

And yeah, you could certainly lie, but I feel that's true for a lot of fields on college apps? Perhaps it could be reasonable to have your school validate or sponsor the answer?

It's well researched that private tutoring (among many other socio-economic factors) gives you a huge advantage on these tests. Having one of these bodies come out and say by how much could be a wake up call, and maybe spur more decisions like this one in the original post. Totally agree with your points, but also think tutoring != independent studying, the latter of which could not effectively be reported.