Akro,
Send me a scanned or PDF of your POH first of all.
Second,
However an APS branded seminar delivered to the EAA (by I think Mike Busch - available on the EAA website) condemned leaning by TIT.
I highly doubt that would or could ever happen. It may be theoretically possible, but not likely.
Q3 well if you climb full rated power, full rich is the go. If you de-rate the climb power adjust the fuel flow accordingly.
As for the difference in fuel flow, two reasons. First for high powers the detonation margin and IAT/CDT requires a bit more, secondly the compression ratio of the TC is lower thus the fuel used per HP is always going to be higher, all things otherwise being equal.
Send me the POH, we can talk later.
And I will post back later too, or JD or WA might drop in. I am setting up for APS class in Perth......if you are quick......