I don't understand the linked page. It says, among other things:

Advanced Codes for TV_0000

A list under the word "TELEVISION" includes this entry:

002 MENU............Guide

I can't find the word, "menu" anywhere else on that page.

Regarding your remarks about "Newer OFA remotes", are you saying that if I take the three digit code number from a list that I use to program my inadequate, cheap replacement remotes and enter it into a urc-6820, 8820 or 10820, that remote will then have "menu" select capability? Don't these remotes come with their own code lists?