SOLVED: But in a bad way ...
While snooping around the resources of the OS X Mojave Installer (which said:
This copy of the Install 10.14 application is damaged, and can‘t be used to install macOS. when I tried to install it on the iMac, but works on other systems)...
I checked out the folder labeled Firmware to see which resources were present.
(After being totally stumped wondering what in the world MP51.fd could mean..?? lol ...)
I now assume that, if (and only if) you're using a 'legacy system' which needs the addition of NVMe, it's provided as a preface to the upgrade to OS X Mojave. Obviously I downloaded this on a 5,1 I wanted able to boot from NVMe drives.
Obviously (and unfortunately), I’m guessing Apple doesn’t provide [all potentially required EFI’s] in each OS X Mojave installer for their customers to have a swiss army knife ... commensurate with what you and I would like. But instead,
provide only what you need (if you even need it), and only if you're upgrading to Mojave...at which point, they provide
the version which has the EFI for the hardware from which you're downloading.
Thus, if the window of opportunity from which,
A. You're eligible // Apple is providing access to 'new downloads' of said OS.
B. Your hardware requires the EFI upgrade
C. Your hardware is supported (per Apple's beliefs) to run Mojave...
Then and only then are you allowed to download the version which contains the EFI to upgrade. your Boot ROM.
This is why (above) I said "you don't have to upgrade to Mojave, just threaten to & it upgrades the EFI in preparation."
Now however, as they’re not even providing access to Operating Systems I’ve previously downloaded from my AppleID ... the only way to get whatever specific version of Mojave (Firmware update) I need to upgrade now (and every time for any other hardware I'd like to update) will be predicated on luck and eventually the repository I'll make to address the issue...which I'm guessing will take a WHILE.
Anyway, again, thank you for all your help earlier ... and here's the pictures which led me to this belief.
(Off to check all the OS's I have laying around from previous customers, and my 'utility' drives to see if any of them serendipitously have Firmware resources.
View attachment 1752900