The #82 main jet that often comes with a new scooter in the bag with the smooth boss, is considered to be the correct jet for a completely stock scooter. The #78 or any other smaller jet is considered to be part of the restriction placed on the scooter for the 30 mph, or under 3.5 hp rules, and to help meet emissions standards. Some scooters tune out differently than others, I'd certainly watch your plug chops, and check for overheating. I personally like to jet just shy of too rich.
I feel it is worth noting that many people misunderstand plug chopping procedure, and end up with only a vague impression of the air/fuel ratio at wide open throttle. You mentioned you are doing plug chops, and I assume you are using a new spark plug each time, cutting a portion of the threads off, or examining with a bright light and checking not only at wide open throttle, but at 3/4, 1/2, 1/8 as well. After modifying from a stock setup, it is possible to be jetted for correct air/fuel at WOT, but lean enough at other throttle positions to overheat and seize the piston on an extended run at say 1/2 throttle. While plug chopping is a good final tuning step, I personally like to keep going richer across the throttle range until there is no more performance increase for a given throttle range, then plug chop to verify what the performance has indicated.
I am by no means a "guru" , or "infinitely wise", and have not been around scooters all that long, but I have been a auto and industrial mechanic for 22 years.