Sorry, but do you really think that they would just put a block on the terminals and not on the network itself when some illegal activity has been discovered? If that is really what they have done, then their security team should get fired.
Security team? It's a school network. The entire IT support staff is a couple guys. Those people all believe Microsoft's claims about how group policy lockdown is the way to secure things. They're doing exactly what the Microsoft training courses tell you to do (while all the sysadmins are sitting in the back row and trying not to cringe).
Yes, I do believe that they would act the same way as all the other school networks. Incompetence is the norm here.