Basically, yes.
Update the config.plist file with your S/N, UUID, MLB: in the PlatformInfo section, look for the areas labeled "fill-in".
It's probably wisest to copy this EFI to a GPT formatted USB stick. And test booting from it; press F12 key on keyboard, when starting the laptop, to display the boot selection menu. Choose USB stick. Make sure everything works. Then, if all is good, replace your EFI folder on your main drive (SSD or NVME). Don't forget to backup your working/existing EFI.
Then, you're ready to update to Monterey.