Hmm i havent run into too many basements with fireplaces so the chimney question is interesting, honestly itll probably be a good thing because youll have fresher air with better c02 quality than you would without the chimney in there... In order to assess the situation better we would need to know the volume of your built closet. I have zero knowledge of how a gas boiler spill switch functions but i cant imagine that moving air would cause any kind of major issues.. i mean fromt he information provided it sounds like the situation is essentially the same as if you opened a window.. air would be passively pulling in due to the fan exhausting the entire room, does the spill switch get tripped when you have a window open? The true effect of negative pressure will be strongest first in the closet, secondly in the room where the closet it, beyond that a 400cfm fan is not strong enough to create the effect in the rest of your house.