Actual conclusion: Both NVDAStartupWeb and NVDAStartup are just not loading. Default GeForce and NVDAResMan kexts are loading. GeForceWeb not loading. There's also another kext I wasn't aware loaded. And I don't think it was working because my FPS gain was almost nothing. I'll be sending screen captures.
I'm from Brazil, so, in the window: "Carregada"=Loaded; "Sim"=Yes; "Não"=No.
Did you rebuild cache after editing the KEXT's?
Terminal:
sudo touch /Extensions
sudo kextcache -system-caches
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Must I have a monitor plugged to the eGPU before starting the machine to select?
No, no monitor needed.
When the card works it should be listed with exact name in 'About this Mac'