I thought everything about that episode was dumb. And Akiva Goldsman's explanation for why he felt the change was needed is just ridiculous.
Apparently, a 56-year old story needed updating to keep things "aspirational" and believable, but in the same episode where you're putting in these edits for this believability you have the main characters doing things that aren't believable to a modern audience ...
(e.g., checking in to hotels without ID, crossing modern international borders without passports, traveling from Toronto to Vermont, a 14-hour trip by car, in ... what? A taxi cab?)
... And the only explanation given by the script for why all of that is possible is "chess money."
The biggest problem I have with Strange New Worlds is it could of done “Yes, and…” and arguably achieved similar results. Instead of fiddling with Trek's past, introduce new species and new places. Add on to the franchise’s narrative instead of reinterpreting what’s come before.
And at a certain point this gets into the same issue Star Wars has with letting go of the Skywalker family. Either your IP can move beyond the initial set of characters and settings to explore new ground or it can't. Either every story needs to connect to someone named Skywalker, and edit in a new aspect to Anakin Skywalker's past, or you can world build within the setting to explore other places and other characters that connect to the central themes.
I didn't really like "Tomorrow and Tomorrow and Tomorrow" that much for pretty much your exact reasons. (And I am sick of time travel being used so damned much in ST.) I gave it a 7 strictly because the character work was so great... it's my lowest rated episode of the series after "Subspace Rhapsody", which I gave a 5.
The whole reason of trying to match the franchise history with our own to stay aspirational is ridiculous. You can still BE an inspiration and aspirational and not be tied to our own history. Truthfully, saying that kind of thing is actually insulting the intelligence of the audience.