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would oblivious transfer qualify as OK? if the sender provably doesn't know what's transmitted, will the law rule it a form of obscuring meaning?

You're thinking criminal court standards, like beyond a reasonable doubt for a conviction.

It's a procedural thing. The FCC will tell you did it & tell you the penalties. Your options are zero.

Yes, the FCC would (theoretically) just revoke your license to prevent you from doing it again if they so wanted.