I wouldn’t expect it to, since Activation Lock is tied to an Apple ID and the firmware password is local.

The number of people who manually set firmware passwords on their Mac (i.e. don’t have it set as the result of MDM) instead of just using FileVault these days must be vanishingly small.

Just an idea, but, I remember something about T2 macs, and the find my integration and if you put the device into “lost mode” on the web, it sets a (numeric) firmware password as part of the ‘mark as lost’ process.

I think that overrides any user set firmware password, so might allow you to recover it,

Just a thought maybe a little searching can validate it before you might try?