Correctly, Nous, The Erudition was originally a super computer made with the intent of trying to defy Finality, hence why their fall would be important.

I'm not a lore genius by any means, this is just what I have off the top of my head.

This is mostly conjecture on my part, but to my understanding those alligned with the Destruction want not just pure destruction itself, but to be able to see what comes at the end of it. Some of the dialogue in the trailer points at the end of the universe (or Finality) coming. If I remember

One step at a time.