I have the edge to Big Red.
In PVE the health regen is more important than ammo reload, especially on hard raids, nightfalls and the tougher arenas. The only exception is if you're a voidwalker with obsidian mind, which is something else entirely.
For PVP the full auto of juju is nice, but it lacks on impact and range.
I'll use both, though. Love switching weapons, keeping things fresh.
Depends on who gets the shot off first
If Bad Juju gets the shot off first then definitely Bad Juju, vice versa with Red Death
But if they fire at the same time and are perfectly still.... then i have to give it to Bad Juju cuz its full auto and Red Death wont be able to aim properly