We were in the BW View room right above the Screen Door. I can't imagine that the room next to us (which would have been a Village Green room) would have been any quieter. The Village Green still gets a lot of traffic - and the shows are often right in front of the boat dock. Plus you'd be looking at the door to Flying Fish - not a quiet spot on the weekends.
We thought the room was a little noisy, although Dee doesn't think those rooms are noisy at all. I do think it depends on when you go and how used to noise you are - as well as what your expectations for quiet are and if you are even in your room going to sleep at a "bad time" (people who party at Pleasure Island or the Boardwalk until midnight aren't even going to know the BW can be kind of noisy when you are putting kids to bed at 9:00.) When we lived in the city, that room would have been insanely peaceful - no sirens, no car alarms. Now that we live out in the 'burbs, the noise of people leaving the bars and the sound of the acts on the BW was noticable (but not overwhelming). We were also there during baseball playoffs - which made ESPN even more popular than normal.
The noisiest part was the Illuminations fireworks - but I don't think it matters where you are in the Epcot resort area, those fireworks are going to be loud! Following the fireworks, the BW gets noisy as people return from the parks. By 10:00 it was quiet again.
My biggest problem with the BWV was the "bad view" I'm sorry, but that Baroque abomination that is the lighted Epcot sign over Spaceship Earth is just ugly. Like the great big geodome wasn't distinctive enough.