I think you would be making the whole system safer with outside air on the bottom stove, (@bholler ?) especially if the house is getting depressurized due to the recent weather sealing. The downstairs stove won't contribute to the depressurization, which makes the upstairs stove safer when draft is weak.
Can someone confirm/deny that outside air supply on the downstairs stove would make such setup safer? I've searched through older threads and internet and I can't find anything about using outside air supply on shared flues.