I've got two Engineering Bridge Officers.
They've both got Quick Fix and Phaser Turret.
I don't think I have EVER seen the BOff AI cast Quick Fix on a Turret.
Even when the Turret is taking damage from (PvE) Hostiles ... I can't think of a single time the BOff AI has cast Quick Fix on a Turret to heal it. I don't think the BOff AI even "recognizes" Turrets as legitimate targets for the Quick Fix buff.
My BOffs will cast Quick Fix on themselves.
They'll cast it on me, when I don't have an ally selected as my target and I manually command them to use the skill.
But they won't cast it on my Turrets ... either proactively, or reactively ... using the BOff AI. I have to TELL THEM to do it by manual control of select target and command buff.