First of all, I forgot to include one important fact in my problem description as originally posted: as soon as I unplug and replug the Receiver into any USB port, the keyboard immediately starts working!
Yes, Win2K has a similar system to XP: it's possible to set a service to Automatic, Manual or Disabled. After booting and while the keyboard was still non-functional (with wired PS/2 keyboard not connected and before unplugging & replugging the Receiver to get the USB wireless keyboard to work), I found HID Service to be set to Automatic and to be running.
Also with no PS/2 wired keyboard not connected and USB wireless keyboard not yet working, What's Running (
www.whatsrunning.net) reported the following keyboard-related things:
Process: hidserv.exe: running
Module: HID Input Service (HidServ): running
Driver: Keyboard HID Driver (Kbdhid): running
Driver: Keyboard Class Driver (Kbdclass): running
Driver: i8042 Keyboard and PS/2 Mouse Port Driver (i8042prt): stopped
I remain at a loss...