Interesting discussion. This is now the longest thread I've ever started, although it did go off-topic after about three posts!
The whole area of logging time seems to be a confused nightmare: there seems to be a need for some sort of webpage or other publication to set out all the different possibilities... (maybe I should volunteer to do that??

)
The 'cross-channel check' struck a chord with me... I did mine last year, and the conversation on our return to the club went like this:
Me to instructor: How do I log that time then?
Instructor to CFI: CBLong can log that P1, can't he?
CFI to instructor: Yes, but only if you don't log it at all.
Instructor to me: Log it as PUT.
cbl.