This is the same rumor that went around saying early video editions of FRWL contained the cut “What a performance!” line by Grant on the train and the reference by Bond in the end sequence that was hastily cut out which causes the jump edit and degraded footage that still remains to this day. It doesn’t as Aluminum Falcon found out when he bought a VHS copy.
I have some of the early LDs and am starting to try and get early tapes as well and as far as I know they did one master and the early jackets/covers carry the white text UA logo which then became either CBS/Fox on later issues or carried a MGM/UA logo on the packaging. The transfers are all the same. They were done for Fox to release and begin with the 20th Century Fox fanfare and a voiceover: These United Artists features brought to you by Fox etc. The reissues were primarily to update the packages with the correct logos after the legal stuff made CBS/Fox a reality and gave them video distribution to the UA catalog as this was during the mad reign of Kerkorian where UA and MGM were all over the place before being run into the ground with insane abandon.

As Silverwook indicated it is only the early CEDs that seem to have differences, such as the YOLT CED has the trimmed ABC TV edit for some strange reason.

I’ve heard of some of those edits before and then others not at all. I would presume these were ones requested by the British censor which Peter Hunt would have to comply and argue for just like the others. Usually the US censor would only then ask for another trim or so but usually was only concerned about sexual innuendo etc.