I noticed a difference in the temp in the house when I added mine it was warmer even my wife made the comment that it seemed warmer. It took a little bit of effort with silicone to seal everything up, but I would say 95%+ air is coming from the OAK. I am not familiar with your quad stove the classic bay base basically sucks up air so you seal it with silicone along with some spots behind the burn chamber, and random holes in the base for assembly and your good to go. The only spot I could not do is the trap door pull lever and access panel to the burn pot. They are pretty small though. Before I sealed it up and just had the OAK you could feel air being sucked through the pipe it was working without being sealed up pretty well, not sure if the sealing really did anything. Most air comes from the path of least resistance the OAK.