User blog comment:Plain'N'Simple/Letter Notation Up to Z: Outline and mnemonics/@comment-36984051-20191106024302/@comment-39541634-20191106152141

"but they are free from 'weaker-than-UNOCF' crisis. "

Sorry to be blunt, but why should anyone even care about such claims?

Any person who is even remotely serious about learning the art of googology, knows that UNOCF is ill-defined. That's it. End of story.

And seriously, if you're already doing things with BMS on levels beyond (0,0,0)(1,1,1)(2,2,0) then you're already peaking into the exciting world of stable ordinals. Even if you're going this at the most cursory level, UNOCF is about the last thing you should have on your mind.