JEFF, RICHARD - The carbon deposits that stick the exh valve open are on the exh valve stem inside the valve guide. They get REALLY hard & shiny, I had a hard time removing them on the exh valve on the K241 I took out of my 72 yrs ago. Scraping them off with a pocket knife worked the best, then wire brush, solventm etc. I'm not sure MMO will be able to loosen & remove them, maybe over time. There's not a lot of oil or gas flow in that area.
An old IH mechanic up around OshKosh writes a column for Red Power Magazine every issue called "The Tractor Doctor", and he addressed sticking exh valves in Kohlers about 6 months ago. Using IH Low Ash oil is the best way to prevent those deposits & exh valve sticking, sometimes it will even remove the deposits.
Removing the head & breather cover, and removing the exh valve, cleaning the valve stem and reinstalling everything is the best way to fix the problem. Also make sure the outside of the breather box is clean helps too. The outside of the breather box on my K241 had 3/8" of dust accumulated on it when I pulled it apart, kept a LOT of heat in. The exh valve puts a LOT of heat on that end of the box and you have to get that heat away from the box or the valve stem grows in diameter, then sticks.
Spraying water into the carb is really for removing carbon deposits from inside the combustion chamber. I doubt it does much to the deposits on the valve stem.
The old K241, and to a lesser extent, even my K321 will stick the exh valve when pulled REALLY hard on a hot day. But it just "Chuffs" for a bit until I can reduce the load then runs O-K. Making sure the tune-up on the engine is good, carb not too lean, timing where it should be reduces the tendency to stick the valve, and of course the grass screen & cooling fins, etc all need to be clean.