The Altars of Lilith bonuses are account-wide. You can't reset them or disable them. Are all runs assumed to have all the Altars of Lilith collected?

Hmm, yea that a good question, i dont know yea probably full altarts and maybe like a category first run or smt.

that's why the main category is called Campaign and not NG or NG+ or anything else because you can only play the story once with one char.