As posted my lawn tractor with the Briggs and Straton Intek V twin 22.0 has been giving me fits this year. First few times out of storage it worked great then decided it would crank and not start. Carb cleaner in the air intake will allow it to fire up and run without issue until the machine cools down then the issue starts again.
Initially I replaced the plugs, air filter, fuel filter and re-charged the battery which did not resolve the issue. Then I cleaned and rebuilt the carburetor and still no change. The magnets on the fly wheel had some rust build up which I cleaned off and It did fire up once but then went back to the initial issue. I tested the fuel pump which functions properly and had the battery load tested which passed. The strange thing is that I can get the tractor to start either with the carb cleaner or by using the "engine start" function on my battery charger and once it starts it will run great and re-start without issue until it cools down.