Not if they stand to gain something from it. And the way I see it, they stand to gain a lot. But I'm not gonna expand on that now.
This. if we dive deeper in this , the Nerds actually can gain something,
their own house! The Nerd are the only one without their own place, they are gathering in the library, they obviously can't mess with the Rich kids, and they cant take a fight in toe to toe , with the two big boy group. But if they able to put them against each other even more , and one of the two groups is suspended, they can occupy the empty house, and the upkeep, won't be too much of problem, they selling cheats.
so they are very much can be involved in this in some degree. I don't say they are the one who trashed the Diks mansion, I do believe those were the Jocks, but in the other stuffs, they can be involved.
and this is just a theory, not fact, i could be very much in wrong.