Which is exactly why I said I was sure the FAA wouldn't agree. I actually have the Harrington letter bookmarked in my browser I was referring to it just the other day on a different topic I was researching. You could fly it and not log it and be in compliance with Harrington in theory. Although it seems to me not logging time is problematic for them for other reasons.
Personally I think flight time as compensation is a silly notion and really needs to go away. It is unenforceable and just dumb. The fact a friend can't ask you top pick their plane up from annual because they are busy and you are willing is just ludicrous.
But that's a whole other topic.