If I'm not mistaken that carburetor on the GT80 has an enrichment circuit Not really a choke. An it adds a variable to the "soaking the carb clean it of old varnish" routine.
The enrichment circuit usually comprised of a additional fuel metering jet and additional plumbing that bypasses the throttle piston with it's own smaller brass piston/rubberseal. These should always be inspected to see if there's some crap, varnish or debris blocking or sticking the start circuit piston open, and that the rubber seal and the seat it works against at it's end is also intact and not damaged. Although this is sounding a lot more like the idle circuit and possible the main jet orifice and emulsion tube is the likely culprit.
These carbs aren't as simple as the NT carb on most stock HT engines.