Check minkernel and maxkernel options. It loads one OR the other depending on the system (CPUTscSync up to Big Sur, TscAdjustReset for Monterey and up), but never both.
In latest version of Whatevergreen, wegbeta is not needed anymore. The other two are meant for different scenarios, and other users are not using them to update / boot into Monterey. Anyway, I tried all those bootargs together when you mentioned them before, to see if something would change, but nothing changed.
As for the HD 620 patches, Whatevergreen recognize it correctly and everything works in Big Sur. Are the patches needed for Monterey only? I'll test with the folder you provided me, and let you know. Thanks again for taking your time to look into this.
EDIT: Ok. Tried with Shinji3rd EFI 2. Same results, I starts the process in verbose and never gets to the installer. It just reboots in less than a minute.