my triple has had disabled pumps for more than three decades, it starts just fine, hot, cold or warm. In fact it starts when warm or hot without "half choke" which seems to be needed by most triples and I fundamentally state that IMHO this is wrong. If it is jetted correctly the choke will only be needed to enrich the mixture for a cold start.
silly old Cam, you know better than that!
I suspect the carbs have been cleaned but not stripped, every removable part should have been out. The pumps work via a bell crank in the top of the bodies wich is activated by a ramp on the slides, this bell crank then presses on the diaphram which moves to suck the fuel up from the bottom of the float chamber (NRV) and eventually through the finest of jets, which can be accessed externally from the carb bodies via the biggest brass screw that you can detecet, this jet has a "flat" on it, when installed to ensure correct orientation of the jet, it would be no good if it sprayed anywhere other than into the carb throat. You would know that if you had stripped completely the carbs, and would not need to ask how the pumps work. "anyone tell me how accelerator works" presumably that meant the pumps not the throttle twist grip.
CLEM