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I agree with you, but it was not officially a part of his origin until Detective Comics #583 in 1988. He had for the most part stopped killing from the 40s to the 60s, but this was a change in character enforced by editors like Whitney Ellsworth, not writers, it was not at the time codified or tied into his origin (it…

His vow not to kill debuted as part of his origin in 1988's Detective Comics #583.

Burton's Batman is based on Bob Kane's original vision. Batman kills in his first appearance in Detective Comics #27 and carries a pistol in Batman #1. It wasn't until the 80s that Batman's hatred of guns and oath not to kill appeared, seemingly as a way to market the character to a younger audience. It wasn't until…