Do sysadmins actually run any of them for large systems like stores, hospitals, airports etc?
The point is that they can if they have the want/need to.
Sysadmins at the places you listed use windows because that’s where the software support is and Active Directory exists.
Alpine Linux. I'm sure they do run that one.
I left Alpine off of my list because the only place I've ever seen it used is inside of containers, which usually don't run their distro's init system at all.