You have been lucky so far that small piece of the bad governor has not caused any major damage. It will eventually happen if you do not retrieve all.
BE SURE you retrieve ALL the small pieces from inside. I have a large metal lid/pan from the top of a 55 gallon barrel that has a lip and I take the block outside shop and put screen wire over the lid and flush the block with diesel using a hand sprayer and roll and tip the block and use magnets to search for exploded pieces. Use the replacement governor to compare to your exploded puzzle pieces to get an idea if you have
retrieved all. If you don't get all the pieces the engine gears will eventually find them.
Also make sure the governor is orientated properly when re-installing the sump.
Hint: When first starting up that type governor engine I've been deep into
I purposely set the static governor opposite of normal so as when the engine is first started so as the governor SHOULD hold the engine at idle instead of high rpms. Set throttle control at idle also or manually tie the carb to idle position. You know then when you let it have governor control it should immediately stay at low rpms and you are ready to do the ignition off immediately. After you see the governor holding the engine at idle or low rpms and letting the engine warm up at low rpms then set the governor static adjust normally by the book for the high rpms governor control know the engine should immediately start and operate correctly with governor control.
Max over speeding rpm's governor at cold startup is not a good thing even when you are trying to kill the engine.