yes thats right the small hose on the right goes only to the carb area (encircled yellow on my first pic)
for the bigger hose on the black filter thing (2nd pic) beside the carb, the one on top goes to the left side of the engine (timing chain cover), middle hose goes to airbox area and bottom hose goes to crankcase
so you can eliminate that 'unknown black thing' which might be causing your rev/idle problems because of the open ends...
the underside of my tank also has a hose connection (open end)