I think you need to define "in service" and with which air force - RAF or USAAF.
No I don't, the Liberator Mk.II was the first variant of the type fitted with power operated turrets. The first Liberator with power turrets was fitted with them in June 1941, and given the Liberator was in service, it was the first in service US bomber with powered turrets. Before then, the Douglas XB-19 had Douglas developed powered turrets, but these were inadequate and insufficiently developed.
The first front line RAF squadrons to receive the LB.30 Liberator B.II didn't form until Jan 1942 (159 squadron on 2nd and 160 on the 16th) originally destined for India but diverted to the ME.
All of this is irrelevant to my post, your summary doesn't change at all what I wrote. I specified which Liberator had power operated turrets, I said: "the first US-built heavy bomber fitted with power operated gun turrets in service was the Liberator Mk.II, which was an RAF only variant and was fitted with Boulton Paul tail and mid upper turrets." You're reading far too much into my post.
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