With an electric cooker the cooker hood just removes smells, with a gas cooker essential to remove combustion products. Due to latter, to have a humidistat could turn off the hood when required to remove combustion products.
Removing moisture is a problem, and often the cure is to reduce the moisture generated or circulated, showers over a bath where the curtain or panel can't seal at the bottom can cause a chimney effect which draws the moisture into the room in general rather than it remaining in the shower area, also poorly placed extractor fans can do the same, really we want the fan to start when shower turned off, so it does not draw moisture into the room.
Humidistats are a problem if they don't start the fan early enough, as by the time they start the fan the humidity has reached a point where it makes the humidistat so wet it takes hours to dry out again, even when the room has been dry for some time.
The heat recovery unit I have never used, it sounds good, and the lack of cold drafts means people are more inclined to use them. But one can lead a horse to water, but you can't make him drink it, and any fan needs an off switch, so the tenant can turn off what he likes.
A heat recovery unit
may get used more than a simple fan, but it can still be turned off.