Against tough German fighters, yes, but against the Zero?
My understanding is, the reason why turreted fighters were ineffective in WWII wasn't because the aircraft against which they fought were too tough to be taken out by the turret-guns. Instead turreted fighters were ineffective because they got too few hits...and that was the case because the aiming dynamics of turreted guns were too difficult for human gunners.
Bombers with defensive turrets typically were flying
straight-and-level, or mildly curved flightpaths at most, while their gunners were trying to defend them. Being a defensive gunner, by many accounts, was difficult. Often when it succeeded, a significant factor was that bombers often flew in formations, and many gunners simultaneously engaged each enemy fighter that came within range. With regard to the statistical likelihood of accuracy by any individual gunner, by all accounts with which I'm familiar, the percentage of rounds fired
at bombers that hit those bombers was much greater than the percentage of rounds fired
by those bombers at their attackers that hit those attackers.
Fighter pilots, though,
never flew straight-and-level in combat. They tried their hardest to avoid being in front of enemy guns, and likely did their best to create good firing situations for their gunners. But that meant that the gunner had to deal with double dynamics...two simultaneous maneuvering frames of reference.
The evidence indicates that that on average was too difficult to master, and that's why turreted fighters all were failures.
And putting the Zero into that equation would make it worse for the turreted fighter, not better...because the Zero often was flown with highly dynamic maneuvering, compared to German fighters that...sometimes...used boom-and-zoom tactics.
A turreted fighter's best situation would be defending against either boom-and-zoom from high astern or high speed overtaking from level astern, where the gunner could have eyes on the attacker from well outside gun range. AFAIK, Zeroes were unlikely to attack those ways, because their maneuverability and climb rate gave them more-lethal options.