I was going to immediately respond to both you and
@Stavrogyn and whoever else to say that I truly do not believe that there are different versions out there, and that to think otherwise is simply the result of false memory, or in the case of the Steven/Gerstyn scene, bad subtitles.
HOWEVER...I also recall Cooper and Diane sharing a kiss immediately after exiting the red curtain in Glastonbury Grove! You saying the same thing sent me into a frenzy and kept me up until 5:30 AM two nights ago. It is indeed a very vivid memory of mine, and every time I watch the series I still wait in anticipation of Cooper and Diane kissing outside the sycamore trees. I wait for it in a sort of confused state where I'm thinking "well, do they or don't they here?" (sort of similar to that Part 14 Roadhouse Rando scene where the woman can't remember if her uncle was there), and such a conscious feeling occurs almost every time I watch it . So I went back and looked at my originally downloaded files and waited in suspense, convinced that the kiss HAD to be there on those files. I saw numerous opportunities for the kiss to be there: the look in their eyes, the tender hand on the face, a few edits in which it seemed like they may be ready to lean in for the kiss only for Lynch to cut away. But lo and behold, the kiss is NOT there. And yet I vividly remember it being there! But checking through my original files that were taken from the original way I watched it (Amazon Prime Showtime app), the kiss is not there. It never was.
In addition to verifying in Part 18 that my memory of the Glastonbury kiss was faulty, I also checked out a few other things on my original files based on recent comments.
1. The gold orb in the glass box Experiment Model scene in Part 1 wasn't spotted (by Dugpa users, anyway) until after the series came to Blu-ray. But checking my originally downloaded files, it was indeed always there. I had never noticed it until it was pointed out to me, and I still sometimes miss it even on Blu-ray, but it was always there in its original airing.
2. The Steven/Gerstyn scene in Part 15 was subtitled wrongly on the original stream. The subs included with my downloaded file include the C-word twice, and there is also a transcript you can read on Reddit that states the exact same. But the Blu-ray has corrected the subtitles, without altering the dialogue/scene itself, as far as I can tell from such a murky scene.
3. As originally stated and echoed by secretlettermkr, Carrie only asks to see the badge once in Part 18.
Now I know we all have our own subjective existence, and memory is a tricky thing. I don't believe that there are alternate versions that have aired, despite eyeboogers and I sharing the same memory of Cooper and Diane kissing immediately upon his exit from Glastonbury in Part 18. I'll even admit that I was able to find one "verification" that the kiss occurred, since the wiki fandom page on Diane states that they kiss upon exiting Glastonbury in Part 18! Apparently someone named Pyramidhead added that information seven days after the episode aired, and was the first to add info to that page, and it hasn't been changed since. Yet no such verification of the kiss is included in either Cooper's or the Part 18 wiki fandom pages. Again, I don't think it occurred, but I can see why some of us remember it that way.
Furthermore, don't you think that with all the rabid scrutiny/analysis this series has received, both as it aired and then throughout the release of two very fine Blu-ray box sets, that this information would be easy to find, especially in the digital age? That you could simply google "differences between streaming and Blu-ray Twin Peaks" and find some Reddit post relatively easily? That it would have been proven by now or at least speculated in more depth? Maybe, I don't know. But that this isn't something people are regularly talking about is sort-of-evidence that multiple versions don't exist.
That said...even though I don't believe there are alternate versions aired in different territories or on different networks that were quickly taken down and replaced, it's too wonderful and strange a coincidence to completely ignore. IF Lynch/Frost did do something like this, not only would it be unprecedented as a meta-narrative coup, it would fit perfectly into the idea -- vague in the series and concrete in Frost's books -- that there is an official and "unofficial" version of events that only some of us remember. That throughout the series we are seeing but one of many versions of Cooper escaping the lodge as he is trapped in an endless, slightly shifting loop as he tries to find/save Laura and eradicate Judy. That collective memory is slowly being erased and overtaken by new memories caused by shifts in unstable time, the altering of events, the past dictating the future. Again, I don't believe this to be the case, but that we are talking about this is eerily similar to the notion of an "unofficial" version that nobody but Cole and Cooper remember, which Tammy reveals confusion about in Frost's Final Dossier.