In my opinion, what distinctive from Law is his Reaction Formation (one of the most primitive defense mechanism in human) to convert unwanted/bad impulses into the opposites. Probably bc of his childhood trauma when he was asked to get Jesse's attention and this probably led to his thoughts of hating Jesse, which he expressed as an obsession under his subconscious mind.
I had to look up what Reaction Formation meant. That was a really interesting thought. I always felt that Law sometimes does the opposite of what he´s truly feeling so it actually makes sense.
The way I understand it, Law is already suffering from mental illness though I don't know what type, and his dream of making Jessie his equal led him to create a world where their character ,except for their names and title, are all mixed up. Doing so, it made Law feel like he's the controller now not Jessie