The revised Fox logo debuted in the summer of 1981; the reissue of SW was in April, so I am now certain that the new logo did *not* appear on it in theaters; thus, it was just edited on for the initial video releases. (Which would make sense, since there's a video edit from the cropped Fox logo to the squeezed Lucasfilm credit.)
All versions I've seen except the original '82 video had the correct fanfare. So I guess it was just dubbed over for the initial video release. Why? No clue.
Watch the very end of this clip of the network TV premiere of SW: http://www.youtube.com/watch?v=79Du-s3jmJU
You can see the 80s Fox logo fade up, and if you listen to the drums of the Fox fanfare, you can hear that it's not the Newman recording, or the Williams recording, but the anemic re-recording that Fox used through the 80s and into the early 90s. Thinking back, yes, I think that was the version I heard on the '82 VHS. I remember it because I had *never* seen a version of the first film that didn't have the classic 50s recording of the fanfare.
As a kid, I had the 1990 VHS of ANH - it definitely had the logo seen on ROTJ, coupled with the 50s Newman fanfare. I remember wondering back then why ESB had a different logo than ANH or ROTJ, and it was only when the THX releases came out that I saw that ANH had that "tilted 0" like ESB did.
Looking at the clips of the time-compressed CED on YouTube, I can see that it has the correct Fox logo - I'm assuming that the first compressed LD was exactly the same. Thus, it would have been only the original VHS and Betamax (which weren't compressed, right?) that had the replaced Fox logo and fanfare (later P&S releases, at least on VHS, would have the logo replaced, but with the original fanfare intact). Can someone check the Starkiller Rental Library preservation?
I understand that this is getting off the subject of the Orange Errors, let me bring it back by saying that all the video releases prior to the Technidisc SWE obviously came from newer IPs which were made from a source that did not have the errors. This means that the errors were not on the original negative - as I said before, they must have been introduced on the original IP (since the Technidisc SWE and PAL THX LDs have them, and they came from a generation before the addition of the alien subtitles - see below).
From what I've gathered, the '85 IP was used on the '85 P&S releases and the JSC/"shrinking ratio" SWE. In '93, they went back to an IP from '77, according to that Widescreen Review article - this was what would have been used on the Technidisc SWE and the '93 transfer. Though here's what confuses me - they said they didn't have IPs without the subtitles, but the IPs used for home video obviously lacked them. I'd assume that those IPs were either too faded or too worn to be used again (and by 1993, the negative had reached the poor condition that they'd find it in when they exhumed it to prepare the SE).