I ususally take of the tags, except on my larger special peices. The tags don’t make them wobble. My little ones, even my signed one, I hate to admit do get the tags taken off 😳 . I do it very carefully though, and I save all of my tags in case I ever decide to sell those sculpts. It’s not likely I ever would, but who knows…
By the way, I just won a Emerad Young Oriental Dragon on ebay. I totally didn’t think I’d win him, but I guess luck was on my side 😀 .