One more knock against using outdoor air supplied directly into a woodstove, that I have not seen mentioned yet: Extremely cold air is quite bad for combustion efficiency. Room temp air is much better for getting the most BTUs out of your wood. This is scientific fact, however, the difference may not be significant to some folks or those in more temperate climates. Just think about sub-zero air being blown onto your coals/fire.... it cools it down. Hot fires are far more efficient for extracting BTUs.
We built a tight house in 2015, intentionally designed to be primarily heated with a central woodstove. I went back and forth on the outside air kit for my Napoleon woodstove. Partially due to a busted budget, and to avoid further house design complexity, I opted against it. The only problem we ever have is when the fire is not yet raging, and wife starts the clothes dryer or range fan without watching the woodstove. Iit can occasionally fart out a pretty good cloud of smoke before she notices, which is obviously pretty gross. One cracked door or window and the problem is gone, obviously. With a well burning fire and or at least a good pile of coals, the draft never turns around though. I'm still debating adding an outside air kit, but making it optional with some gate valves or louvers in case it isn't optimal.
