Zer0 becomes a glass cannon in UVHM, you really need to start using your ability more and switching in/out a S**g weapon.
Personally I got tired of Zer0 being so easily beaten down, played a Gungerzker which I dub as the "Funzerker" and Mecromancer due to their DPS being much much higher when spec'd correctly.
you're not kidding, Zero drops every 5 seconds, but so did Gunzerker, i'm trying to kill Bloodwing, but i've given up, i'll go back later on, i'm now back at the Golden Chest at level 57
i'm after a fast fire shotgun... the one that's similar to Conference call/Talking Shotty, because i can not kill him with the 16500 Torgue, it doesn't fire fast enough
i dont know what the hell they've done to this 3rd playthrough, but a game should never be this hard to play..ever !
Rabid Stalkers are dead easy now..... i just run past them

: all i do in this 3rd playthrough is just run to the mission location, i've only killed about 1/3 of the enemies, it would take too long otherwise.
i wouldn't say that Zero has poor health, because so did Gunzerker, it's just that they've made the game much harder to play on purpose, because with the 100 000 shield you can still stand and fight out in the open ok, but the big difference is,
your guns used to kill quickly, but they dont now
kill quickly = survive...... but to hang around in the open = die