So I got my 85 VF700F Interceptor last summer (after it had been changing hands on Craigslist without being used much for the past 25 years. It only had 5000 miles on it when I got it!) and it was working great. I got my modified shock from Jamie Daugherty and everything was perfect. Then I dropped her. Twice. Then I started having issues with the throttle not giving me any engine response, and stalling out from stopped, even when I knew I was giving her enough gas. So I figured I would take my carbs out and figure what was wrong. Turns out there was a nice hole in one of my diaphragms that a previous owner tried to patch and it failed. Got the replacement diaphragm installed, along with new jets, valves, and seals, put the carb back together last week and tonight was the night to get the carb reinstalled. But there is a hose that seems to be out of place and I can't figure out where it goes to. I really hope I don't have to take the carb back out, cause that was a PITA the first time.
Those diaphragms can take alot of abuse. Friends have told me they used that gorilla snot 3M stuff with ok results, replacing is the best option. From the looks of your picture, I think that hose just vents the carburetors to the atmosphere. I took that hose off that rail on my generation 3 bike and my bike rides perfect.