I turned in my car Wednesday this week. All went pretty smooth. There was a VW buyback specialist there waiting for me when I showed up. My appointment was at 1:30 and I was on my wait out by 1:47. Not bad 17 minutes. He went through paperwork first, then checked out the car, took some pictures, confirmed mileage was within range. Went back in, entered everything through his system. While sitting there I received an email indicating that they received my car. Thursday night I received an email from Chase Bank asking me to enter my bank account information so they could wire me the money. By 10 a.m. Friday morning, money was in my account. All went smooth and fairly quick.
As an side note - I am in NYS and I was impressed at how quick the whole thing went. I made it to the DMV to turn in my plates and cancel my insurance and back to work by about 2:45 that same day. Seems like "all the stars aligned". Never had quick DMV experiences like that.