Shitty sysadmin

Well there is a distinction. If the on prem hardware is running a cloud stack, which hosts all the actual stuff the company wants, then it's on-prem cloud. The purpose of this is usually to make infra management more infra-as-code friendly, and keep most of the benefits of cloud (convenience mostly) with less cost. Of course it requires hiring people who know how all of that works, something you get "included in the cost" when you pay for off-prem cloud.

Unless you're paying someone run hybrid cloud for you (IBM and other so this), but that's usually for sensitive data or if all your users are in house and sending data to the cloud just to get it right back doesn't make financial sense.