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That's all good and understandable, and it would be informative if you provided what type of tilt you believe is neutral, so we can get one more opinion on this. Thanks!
Good question, but I'm not sure I can answer it, at least not on theoretical grounds. In fact, it's a bit like questions about what the most "neutral" loudspeaker directivity is, or what the most neutral listening environment is. This information is just not contained in any recording, which makes it impossible to say that a particular loudspeaker directivity or room acoustic is the most faithful.
It's similar with headphones: I think there's good justification for a downward tilt, but I don't think there is any specific degree of tilt that is the most correct: this information is just not contained in the recording.
In practical terms, if you have the measurements available, I would start with a flat diffuse field response and then adjust bass and treble until it sounds subjectively neutral to you (which is not so different to what Harman did with their research subjects).
But I'm afraid I don't have an answer to the general question :-/