Yeah, I did forget we were talking about the Z-series here. I do know that they use the Power architecture and no, I am no an expert.
No, they don't use Power architecture. They use z/Architecture. System z machines are not POWER machines, and the CPUs are quite different, with different instruction sets. IBM's POWER-based servers can run AIX while System z cannot. System z can run z/OS, z/VSE, z/TPF, and z/VM operating systems while POWER-based servers cannot.
I believe that System Z comes with on-site support...
Actually, every IBM mainframe has "Call Home" built in. (And almost everybody keeps it turned on.) The machine automatically rings up IBM if any service part is required, and IBM rings back (to a human) to schedule a convenient service time (for the humans -- the machine keeps chugging while the repair takes place, particularly on the System z10 EC but also almost always on the System z10 BC). Repairs are seldom needed, though. Every few decades on average. This Call Home functionality is entirely within the hardware and requires nothing whatsoever from the operating system.
But in my recollection, when you run Linux on a mainframe you actually run it on special processor modules based on IBM Power chips
No, you run it on System z processors which are based on... System z processors. You might be confusing an IFL (Integrated Facility for Linux) with a CP (general purpose processor). On an IBM mainframe you can run Linux on either type of processor, but they are the same hardware. The IFL simply has special microcode loaded which disables one instruction (that Linux doesn't need but other operating systems do), so it only runs Linux (and z/VM, the hypervisor). But IFLs are certainly not POWER processors.
"Don't try to outweird me, three-eyes. I get stranger things than you free with my breakfast cereal." - Zaphod Beeblebrox in "Hithiker's Guide to the Galaxy"