Genset carb upkeep:  drain it and/or exercise it? Both?

My Honda 2000i is over 12 years old with lots of use including 2 years full time travel. I have never drained the carb, and never added Seafoam. I did clean the air filter once or twice and changed the spark plug after about 8 years of use. I do try to remember to run it once every few months but often forget. I change the oil every year or so.

It runs great.