To answer my own question (how terribly impolite of me!):

I am personally in favour of no-lynching provided that at the end of discussion this class trial, no suspects arise, though hopefully through able discussion that likelihood shouldn't arise. How I see it, there should be no hard-and-fast rule on whether no lynch is beneficial or not. It simply varies trial by trial, semester by semester.

I will say no lynching is not as beneficial here as in smaller class sizes, because one mis-execution in a small class size can drastically affect the school's survival, while in a larger class size such as in this case, an accidental mis-executions (which should be avoided, of course) is not the game-ender it might be.

Of course, what will help avoid mis-executions is by people talking about the class trial and the students within it.