FWIW, the 02 models seem to have fewer stator failures -- the stats are admittedly a little skimpy, but the 2002 stator puts out 50 watts less than later models, so it produces less excess heat. It might also have slightly larger-gauge wires or fewer turns of wire stuffed onto the stator poles than the stators in later models (don't know -- never had the chance to compare them directly.)
With that said, like all Suzukis since time immemorial, the charging problems are ultimately caused by crappy connectors. A bit of corrosion creeps in, resistance goes up, the connectors get hot, etc.
So, if I were confronted with a new-to-me 2002, I would pull the left side panel off and thoroughly clean the electrical connections to the regulator/rectifier and the starter solenoid (all the current to run the bike passes through one undersized connector here) and then reassemble with dielectric grease. Then I would pull the tank and the rest of the plastics and do the same for all the other connectors.