That makes more sense

So I followed the above instructions, and it helps to reboot after running the BigSurSharedSupportfix. I'm pretty sure I was successful in creating the BigSurBaseSystemfix, as the script ran fine, took about 10 minutes.
But when I choose BigSureBaseSystemfix (external) from my CatalinaLoader OC picker, I still get the Apple icon/progress bar, then the quick "Language Picker" header, but then a solid gray screen with cursor, unable to proceed.
Seems strange, since this booter/patched installer is 100% fresh and new, and your instructions have been followed exactly.
I can't boot/pick directly from the BigSureBaseSystemfix USB (without CatalinaLoader), as I just get the Apple logo, no progress bar.