Earlier quoted context omitted.
It is extremely common, even default in the US in my experience, to not have vent fans not actually... vent. As a renter, I don't really get a choice in the matter. Opening a window significantly is also pretty unfeasible most of the year.
Do you also have a gas stove? I’ve lived in lots of places that have unvented blowers but none of them had gas. Would be against code in almost every city in America.
New construction in NYC bans gas stoves.