Small engines depend on oil and air for cooling (outside of LQ engines), so I always fill the crankcase to the full mark on the dipstick, but not over. Too much oil can be about as bad as not enough. 2 quarts isn't that much oil to depend on for both lubrication and cooling, so I use as much as I can without going over. Plus, a lot of new engines (and some not so new engines) typically use some oil so having it full to the top mark is a good idea.
Make sure you don't screw in the dipstick when checking the level on a Kawi. It should rest on top of the tube, not down in or screwed in.