This is the thing I think is missing from all of these analyses; does the fume hood vent to the outside? I have lived in plenty of houses/apartments/condos with gas stoves, and external venting has always been a hard requirement for me.
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4909253/
Which finds that fume hoods do not help:
>NO2 concentrations in the kitchen and bedroom did not significantly change following ventilation hood installation.
These are outdoor vented:
>Ventilation hood: Range hoods [BROAN® (Hartford, WI, USA) Range Hood model numbers 433611, 403001, or 423001] with ventilation fans to the outdoors and secure seal to minimize energy loss were installed over existing gas stoves.
For instance, they listed "flow rates for the models used as 160–220 cubic feet per minute".
These are range hoods typically used for electric models - not gas. 400 CFM is generally considered a baseline hood for gas stoves (100 CFM / 10000 BTU).
I would feel much more confident in their results had they used more powerful range hoods that were more appropriate for the stoves in question.
As an aside, I lived in an old house with electric range which just blew the air up at a 45 deg angle, but as people have gotten taller, it would just blow into my face.