I am pretty sure Bane beats Doomsday because level 3 venom breaks your trait.
But he doesn't always have it and you can run away while he's in level 3 Venom and then trait up afterwards.
But I suppose you could be right.
Edit: Also, body splash helps get rid of a lot of issues that level 3 Venom presents. The only thing Bane can hit you with is Venom Upper.
To put it in other words: If you play the MU stupid, it's 6-4. If you play it smart and cautious, it's 5-5.
This is just my opinion, however. No one has to agree with it and I won't call anyone out on it for thinking otherwise.