The formula to calculate heat transfer has 2 numbers to use, one if depending on natural convection and another if there’s wind blowing & turbulance. The one with wind & turbulance works out to transfer about 3x more heat than natural. Take for example a spoon full of soup that’s too hot. You can either hold it up and wait for it to cool naturally, or you can blow on it. Blowing on it significantly improves the heat transfer.
Yeah, you do get more heat transfer initially with turbulent flow (The number you're thinking of is the Reynolds Number) but overall you can only move as much heat as the stove is producing. Additionally I'm thinking from the perspective of keeping the chimney temperature at least 300 to prevent creosote formation you don't want to remove too much heat from the stove. I have a TC in my chimney and temperature usually hangs around 290-325 at the pipe exit when I have the stove burning on low. I almost never need to turn the stove up unless the temp outside drops below 25 F.
I guess I'm just used to running the stove 24/7 and never really need to re-heat the house once it's been heated up. You guys make a good case for having a blower in some situations. I would still recommend most stove owners try the stove without the blower and install the blower after the fact if they find they need it. Blowers usually don't change in price much if ordered separately from the stove, the one for my Quad was the same price if ordered with the stove or separately.