You can certainly do what you like, but why go to that trouble.
We're talking the inside right?
To me, it's like a cast iron skillet, the seasoning is a good thing.
I let it get all seasoned up and leave it that way.
I have a scraper that I use to get "chunks" off the wall.
I clean the grates routinely
I clean out the grease pan each use, the side drip tray and the big drip shield each use.