I would also never let corporate IT manage a device, e. g. a laptop connected to my private network at home.
That’s pretty standard for working from home. I’m expected to use the company provided, managed laptop with my internet connection.
I figured so long as I made sure of things like there weren’t any open file shares and things like routers and IP cameras were password protected there wasn’t a whole they could see.
If I was really paranoid I could set up a VLAN or something.