I do, if by total depravity one means every facet of man.
The problem with discussing such things is often found in the terminology applied and the different definitions each applies.
It would be better either to use biblical terminology or give definitions before a discussion.
Another problem that arises is the insistence upon labels.
No. You do not believe that men are totslly depraved.
Totally:
completely; absolutely.
"the building was totally destroyed by the fire"
Depraved:
morally corrupt; wicked.
You believe every facet of man is imperfect; not that every face of man is absolutely completely morally corrupt/depraved/evil/icked.