Seems it’s more complicated than that. I had problems with my 4,1 after upgrading the Bootrom with 10.13.5. I could boot a finished installed macOS just fine, but I can’t do system Upgrades. Also I couldn’t boot into a recovery or a macOS installer stick. All stucked with a kernel panic.
when I used a second Mac to install Mojave (or any other OS) on an external disk and then put the disk into my Mac Pro then it boots und worked fine. But nothing more.
Later I realized that there was an Intel Q1DV with C0 stepping installed (engineer sample of the W3570). I always thought it were a normal W3570. So I changed the CPU and everything’s works and I can boot everything.
It’s strange for me the Q1DV could boot a installed System, but couldn’t boot up the recovery nor a Installer or perform an update.