Not from my experience. I found the MORE very clean overall. When I did experiment with hitting it with a bunch of gain, it wasn't a sound I liked at all.Is hitting a “more” with more signal, boosted gain, going to give the same result as turning up the gain on a UA to get some tube breakup?
Fave use of MORE was towards the end of my chain, having a pedal that did have some kind of tube breakup sound running into MORE.