I dare say most of what you have just mentioned does fall under the remit of a sys admin*. But when I think of a sys admin, I think about someone doing a bit more than your MS desktop cluster tech.
Funnily enough, I used to work for a now defunt webhosting providor who developed managed their hosting services via the operations team using CFEngine. I constantly argued that the people who design such a system should either fall under devs remit or be capable developers but that fell on deaf ears. Back there, the term devops didn't exist as far as I know, it's a relatively new buzzword.
I agree with you though, don't happen to work north of the border do you?
* I just realised I misunderstood/misread your first sentence. Indeed their talking about what I could call IT support and what you do is a sysadmin, but actually maybe you're a bit more than just a sysadmin or at least a higher end one.
Oh and the entirpise section of this forum is mostly advice on how to misappropriate your companies money because well, it's not good unless they're charging for it, right?.