FIXED!!!!
Fixed! Fixed! Fixed! Fixed! Fixed! Fixed!!!!
Dancing the happy dance here!
Checked the compression and that was fine so went back to the very beginning and started all over. Beginning with the airbox. Only this time instead of simply checking the airbox and attached hoses I replaced the entire thing including all hoses (to the carburetor, the valve cover and the evap system). I also tightened down the intake manifold just to be sure it was properly sealed.
Saddled up, went for a test ride and... presto! No more problems. The scooter is running perfectly, purring like a kitten, and peppy as can be (when in its stock setup

). All indications are that it is revved up and ready to go for the next 20,000 miles.
Such a simple fix! But the diagnosis, oy. Whether the culprit ultimately was the airbox itself, one of the attached hoses, the intake manifold, or a combination of all of the above, it was definitely wonky fuel/air mixture under load that was the crux of the trouble.
Of course along the way we also found a faulty petcock, a carb that needed cleaning, an exhaust that was exhausted, and valves that needed adjusting. All great to have taken care of. When you think about it, it really is pretty awesome to have gone over everything with such a fine tooth comb right at my scooters 20K anniversary. Talk about starting the next leg of life in as good a shape as possible. Most excellent!
GOLD STARS!!!
There were a lot of very relevant guesses/theories from a number of people. So everyone at minimum gets very honorable mentions and my sincere thanks!.
jrsjr was the first to mention the airbox so a very special gold star and a pint of beer go to you! Also mentioning the airbox were rajron and smithrw, so gold stars go to you two as well. Nice job gentlemen!
Viney mentioned the intake boot which did get tightened down some so indeed could also be contributing to the fix. So a gold star goes to you too!
Imoses mentioned the air filter which was definitely in the right neighborhood, and Eric and Buddy Raton mentioned air/fuel as the problem which while not the actual physical solution, was indeed the gist of the problem, so silver stars to all three of you.
To everyone else, I send my heartfelt thanks and a limited edition, home version of "What's the Diagnosis?" to enjoy playing with your friends
So there we have it! It is quite astonishing all I have learned in the past few weeks. Who knew? Really it is such a gift. Next up, organizing some group rides! I am going through such scooter withdrawal!!! After that... well, reinstall my scooter mods of course! I mean really, after all
Cheers!