> All gas stoves should be below a hood with a ducted outside vent, the more powerful the better.
To my understanding, installing a very powerful stove hood in a tightly sealed house without proper consideration for a make-up air intake can cause problems (i.e. backdrafts in the exhausts for gas fired water heaters), especially in concert with other things venting outside like a clothes dryer. It's very possible to have it done right, but a pretty bad situation if done wrong.
Newer gas fired water heaters (mine is 10yr old) with closed chamber have special chimneys where your exhaust and intake go through double walled pipe with counterflow, which helps with energy recovery (exhaust goes through inside pipe, fresh air goes in outside pipe and gets heated by exhaust gases). That also means you don't need to have proper intake where the heater is (but there still needs to be some ventilation).
To my understanding, installing a very powerful stove hood in a tightly sealed house without proper consideration for a make-up air intake can cause problems (i.e. backdrafts in the exhausts for gas fired water heaters), especially in concert with other things venting outside like a clothes dryer. It's very possible to have it done right, but a pretty bad situation if done wrong.