I have also heard of people disconnecting them and running fine without. When I rebuilt the carb I reassembled it and clocked the TPS with a factory paint mark I didn’t use a multi meter. I have adjusted it back into spec so I will reassemble everything, adjust the pulsar coil pickup gap and see what happens I reckonfrom my understanding:
fuel injection bikes: it uses the TPS for selecting the correct ignition timing advance, and injector duration.
carved bikes: mostly for tempering the ignition only.
some say you can ride with the TPS disconnected and it livens things up a bit (because not delaying the timing).
never had a TPS on a carved bike before so can't comment on this.
does raise the question: if your bike starts without the TPS connected, how does it react/behave compared to the issues you have currently?