Let's just say that I don't think the truths you are pushing are as absolute as you seem to think, and I think they are a reflect of how you view the world more than anything.
And that by correcting people that mention HTML5, you will probably just annoy people without achieving anything worth it. That would be true even if you are absolutely correct.
It's peak "well, actually", with the twist it might not even actually be.
That's not the truth, just my opinion, and I appreciate that you might not agree.
Note that OP didn't mention "The HTML5 Standard", they mentioned "HTML5".