Solmyr, Demeer, and Aislin are cheaters (and/or) kamikazes; do the rest have a right to exist?

Oelm, absolutely!
And in general, do people often build a Tower next to a Dungeon, for example? Cheating mages are dangerous precisely because of their arrival at the tavern with 3-8 heroes. And they can be effectively used both as the main hero, because they level up faster than warriors, and as terrorists. :) I am primarily against this because you don't know what kind of trick to expect.