No one care about tattoos or any other body art other than the person that has been inked/ So they may well desire to be skinned and preserved, but do you really want Aunt Mauds wrinkly bit on your mantle forever? And even if you did, once you're dead yourself, there really is no one left to care.
Where there's a mug, there's a market and a (quite literal) killing to be made.
@bigbadger - I was just thinking of the Dahl story - except that bloke was tattooed by a famous artist, he was killed and skinned - it was called 'Skin' it was dramatized in Tales of the Unexpected.