I think you're missing the point. What I linked to is the "canon". It's the only information we have. It neither proves nor disproves the idea because the idea is never broached.
Then I think we agree on the point. That link doesn't offer proof that Spock wasn't the first, and anyone saying the assertion IS wrong, as if they have proof, would be wrong to make so strong a statement. Anyone saying he was first isn't violating canon in such speculation or fan fiction or even proposed stories for the franchise, but it would be just as wrong to claim it as canon fact, too.
I don't think this was ever an issue.
Not with you, but somebody recently mentioned (I forget where) that apparently Sisko beamed home everyday. I haven't checked, but the way it was said sounded like it was canon, and I have a vague memory of that, too (maybe not everyday, but I think he did it often enough). Too often, IMO, not to wonder about the cost of doing so and the plausibility of beaming everywhere or anywhere and with that frequency. If that were canon fact, wouldn't it then suggest something important, like his family is rich, or starfleet picks up the check, or beaming is virtually free? I'd like to know.
Trek is full of tech that is non-conducive to good Trek-like stories. Mostly the writers ignore them.
A questionable episode out of many is easier to ignore than a big budget movie, particularly one that is so foundational to a new rebooted universe.
Transwarp beaming will join the others on the dust heap of one off ideas.
We can only hope, but instead they used it in two movies already.
There's science and there's Science. Most people get what the latter means.
I had a Christian Science believer and a Creation scientist subscriber tell me the same thing exactly. Unfortunately the place is not called the Vulcan Academy of Hard Science, so political science, social science, military science, medical science, etc. are all not out of the question.
The notion that time travel is impossible was shown to be false in the 22nd Century, so I doubt it's part of the curriculum.
The current curriculum, maybe, but with time travel, you can go back in time to a point when it still would be.
