No need to fuss about calendars. Just need to revisit Dr. Macdonald’s Temporal Mechanics 101.

There have been several temporal incursions since the DS9 crew did theirs - Voyager, Picard, SNW and Prodigy, not to mention the rippling effects of the Temporal Wars established in Enterprise and Discovery.

Dates and details can slip as long as the major events stay more or less the same.

What about the option of the original black and white recording of ‘The Cage’ with the colour portions from ‘The Menagerie’ spliced in, as released to videotape in thr 80s?

That was the real Star Trek. Roddenberry even took it to cons in the 70s and 80s to let fans know what he really wanted to put on the air.