Miquella and Marika are both schemers, and they both care deeply (or so it seems) about their PR. They want to appear as benevolent gods while making sure that the blame for bad stuff falls on someone else. (Marika makes sure Messmer is blamed for the genocide she ordered, Melina is blamed for burning the Erdtree, and I’d argue she also is responsible for the Night of the Black Knives that Ranni is blamed for. Miquella males sure Mohg is blamed for his failure to counteract the scarlet rot, and Melania is blamed for anything that happened during the Shattering.)
Their other halves (Radagon and st. Trina) both seem much nicer and more genuine, but they are locked away and suppressed as far as the more powerful halves are able.
Funnily enough, I think the wording of the patent (as far as I’ve seen it) causes Darkest Dungeon to be in violation of it. You play as a character (the inheritor of the estate), then you summon another character (the party) who go wandering around until they meet an enemy, whereupon the game transitions to a battle screen that the player controls. I think we can all agree that DD is nothing like Pokémon, though, and should never be impacted by Pokémons attempt at monopolizing their genre.