OMG, leave the stickers and stuff on. At least keep the jacked-up trashy innersleeve if it's the OG and has copy on it. That's the record's native land.
I am into collecting these records, not colonizing them. The native tongue of covers and such is the soul of the object. If it's not "clean", so be it. For that, there's digital and packaging thereof. And as things age, let them age, Aging is natural, it does a spirit good to be loved as it ages, without faul being found or repair sought/imposed.
Far from erasing the past lives of these things, I say keep them there to keep the continuity of spirit.
and yes, I am a bit of an animist about this, not logically, of course, just to keep myself in a place where I feel right about where all things are. I ain't the boss of you, I ain't the boss of me, and I for damn sure ain't the boss of records. Nor are they the boss of me. We take care of each other.