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Comment by tjames7000
We don't have full headers, unfortunately. I'm not very familiar with SMTP, but to test things out, we ended up running a minimal custom mail server with the nodejs 'net' module to have full control over responses. I think it'd be possible to set something similar up so that the same mail server handles Hide My Email and normal iCloud addresses differently.
That being said, I have no idea how Hide My Email works technically. Maybe the headers would make it clearer.