The cat room fans are standard bathroom fans. At present we just leave them on all the time -- you can see the switches taped down in the photos. I suppose it might be a good idea to rig up a sensor...
Might be able to use a flipper zero as the sensor, if the cats are chipped. Then you'll have data to catch any unusual usage, like a urinary blockage, before it becomes a serious problem! At that point you're a smart switch and Home Assistant script away from fan control.
Constant fans are sucking outside air into your house. Could be part of your Heat/AC efficiency problem mentioned in your post. A timer to run every 10th minute would be a simple improvement.
A lot of newer building codes require fans to be constantly running anyway due to the other part of the building codes requiring high r-value insulation.
We do have an ERV. But I suppose the cat fans don't actually exhaust through it. Maybe we could have arranged that had we thought harder about it before construction...
Sir, I want to add that it was deeply inspiring. While I’m struggling at 40 just being a CEO of 14 people, which by one measure is excellent but I have put aside so many lives for it and failed at all my social ventures (yes I mean friends and dates); You, you succeed to have time for a wife (a potentially intellectually interesting person at that, according to your brief summary), you succeed to build a house, manage a lot of people at work, have friends with proper deep connections, and still have energy for home renovations. It’s like you’re living 9 lives at once. Oh yeah and kids. Like my uncle, who, beyond children, still had time for home renovations to build a cozy nest everywhere they lived.
In this day of international men’s day, maybe I should still enquire about your internal mental health, because stress can be discreet, but still, the outer appearance you give from your allocation of time and clarity of mind seems absolutely perfect.