andyson:IMO, it is safe to assume a CTTH ACE won't register in stats unless you complete the round.
Now I wonder about the score, maybe it doesn't stick. I always thought it did because I use those CTTHs for practice and quit often, sometimes using only the 1st 2 or 3 holes where you actually know what you had and you get that white box when you beat it. It's hard to actually know unless you keep track of your bests.