In the winter I still like a good bathtub floor or snow is constantly getting into my stuff, but without bugs I don't find much need for the mesh part of it. Also the wood stove largely eliminates condensation because it bakes it out of there, so the mesh doesn't help that might. If it was solid fabric it would keep in a bit more warmth, but with the wood stove in the vestibule it might be warmer to not have any mesh/fabric so the wood stove heat can get right to me.
I don't mind using the inner, but I would generally keep the door rolled open so I don't have to open/close it constantly when I'm always stoking the fire, cooking, drying my ski boots near the stove etc.
The wood stove I use is a 1.5 lbs cylinder stove from TiGoat. I don't think they sell them any more but there are quite a few different options that are probably similar nowadays.