At 10K, LOP/ROP is moot. You can run wherever you want to spend your gas.
ROP means excess gas. LOP means excess air. Both will cool your engine temps. Air is cheaper than gas and let's hope the gubment doesn't find out.
I have flown coast to coast and back again, mostly at 1000-2000 AGL and LOP. I was not in a hurry, but between 9.5 and 10 GPH was better than 12-14. I have run LOP just about all the time, cheap bastard that I am. The Lyc. IO-540 seems to love it. Big Lycomings don't seem to need the GAMI's. My factory injectors peak between .3 and .6 GPH between leanest and richest. The CHT difference between ROP and LOP has to be seen to be appreciated.
There's a jump school at one of the airports I frequent. They have a really tired C182 for when there are few customers. Poor thing is firewalled from the start of the takeoff roll to 12,000ft and then a few minutes cruise to position the jumpers. Once they are away, it dives for the runway to beat them back. So much for shock cooling. It routinely makes TBO. But, even if there is no right or wrong in the LOP/ROP debate, I can see economic and operational benefits. If you are an ROP pilot descending to an airport, you are constantly worrying about forgetting to adjust the mixture on the way down lest you get too lean and wreck something. As an LOP pilot, I just roll the RPM to the bottom of the green, trim nose down and don't touch anything until I'm on short final. Don't worry, at those low power settings, she won't quit. So, unless I have to make a 360 on downwind for some blankety blank dude, I just push prop and mixture forward on final and my temps have made a smooth, continuous taper from altitude until I hit the numbers. The engine loves it.
Last annual: These plugs are more than 400 hrs old and have been cleaned once in their life before this picture. And the inside of my tailpipe looks just right too.


Now, for a REAL debate, let's talk carbon monoxide. There ain't any LOP (practically). CO is a product of incomplete combuustion. Excess air from LOP means there is no unburned fuel to create CO.
YB