I'm pretty sure this is correct, account wide unlocks for Events didn't come to be until like 2017.
Indeed. The first item to be an account-wide unlock was the Universal Kit Module - Sompek Lightning which was made available from Feb 23rd-27th, 2017.
All prior events were, unfortunately, character-specific unlocks.
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I did an event with the shotgun as a reward and I got it as an Account Unlock.
I'm pretty sure this is correct, account wide unlocks for Events didn't come to be until like 2017.
Perhaps you're thinking of the Mirror Universe Dual Pistols?
All prior events were, unfortunately, character-specific unlocks.