No, it would get rid of depth and complexity, as you couldn't have it all hidden. The notion of a complex RPG with hidden stats is a pipe dream. The stats are there to make it easier. People want control, especially RPers. A bunch of hidden variables does not give you control.
Some people.
Even in pen-and-paper RPG'ing, there's a wide range of games, some with remarkably few stats & numbers. Typically, those are the ones that need the
most "RP"ing, since you can't just sit there calculating numbers and rolling dice ("roll playing"), you actually have to talk & think about your character ("role playing").

(personally, I've been playing pen-and-paper games since 1980. Including games like Rolemaster, one of the undisputed kings of "moar numbers!11!" I'm honestly more of a "roll player" - I've never been that good at being
in character, or improv acting. But still, the lack of attributes in Skyrim doesn't bug me.)