TheVaultDweller
Front line cannon fodder
This is going to be a tough fight for Ozy, to be honest. Round 1, he still probably has a very good shot if he can close the distance on Dex quick enough, as Ozy would beat the shit out of him close up.
Round 2, Ozy dies horribly. As good as the bullet catch is, he has no feats to suggest he could stop multiple shots, even from a regular shooter, after responding to the first. Now, he is up against a guy who can send bullets at him from all kinds of angles and fires with an absurdly high degree of accuracy.
Though one could make an argument through scaling that their actual combat speed isn't that far off, considering Bullseye can keep up with Daredevil, who has matched people like Black Sky Elektra and Iron Fist (who is faster than Luke Cage, who himself has reacted to Bushmaster), and some of them have feats of dodging, deflecting, or even shooting a bullet out of the air.