Yes, mine (V50-3, no airbox) goes under & inside RH carb, then up under RH side of tank, up to the RH side of the top frame triangle, up behind headlamp & between h/bar & instrument cluster...then left to clutch lever.
For some reason (probably how I rebuilt it), my V65 Florida goes out under the airbox & exits on LHS before snaking under headlamp & back to LHS ...