Seems there's misunderstanding and propagation of incorrect info in the last couple days...
The starter valve is not a throttle body, nor is it an individual throttle body butterfly (plate) adjustment relative to other throttle body's butterflies. The starter valve is an 'automatic' throttle linkage shortener that is inline with the linkage that pulls all 4 throttle butterflies. When cold, the starter valve shortens, resulting in all butterfly plates being tilted slightly open. It's purpose is to, on cold start, cause the engine to run at elevated RPM for a couple minutes until the coolant temperature starts rising. It's an emissions thing, getting the catalytic converters up to temperature sooner.
The starter valve has nothing to do with engine noise when working properly, except the first couple minutes from a cold start at which point the engine simply runs at higher rpm (up to about 2000 rpm IIRC). Even if working improperly, it doesn't effect engine noise once throttle is opened and once engine is warmed. The starter valve has no job after cold startup (presuming it is working correctly). If it is working incorrectly, you adjust your throttle rotation slightly to compensate, without ever knowing it, and likely you've adjusted the idle rpm setting up so the engine doesn't die at idle once it is warmed up.
There also is a throttle body synch procedure that, for cylinders 2, 3, and 4, you can adjust the ever-so-slight air bypass around the butterfly plate in each throttle body so they match 1 air suction. That throttle body synch does NOT adjust either the starter valve nor the butterfly plate position. That throttle body synch only influences how uniformly all 4 cylinders fire at idle, only affects the engine when warm, and has nothing to do with airflow through each throttle body once the throttle is opened any amount. It has no effect on engine noise (unless something really strange has happened, such as if the linkage to ONE throttle body is disconnected).
There's an inherent amount of engine noise in the St1300 engine. Most people assume that they need to adjust the counterbalancer shafts as a means to 'solve' inherent noise. There can be slight noise from the counterbalancer shaft gear meshing (backlash), but unless there's an outright failure of the counterbalancer bearings or gear, that's a very very very small amount of noise of the engine. Yes, perhaps adjust the counterbalancer shaft backlash, but if you've done it once, that's likely all that is ever needed for the bikes entire life (unless misadjusted previously).