LOL, Oxford dictionary and the Webster both state that hyper, as you see it, is a clipped version of hyperactive, which, of course, means over-active. And both mark the use of hyper as a standalone word as ‘informal’.
Other uses of the word also show that it still means ‘over’ or ‘above’, as in “hypersonic speed” or “hypersensitivity”.
Had you scrolled down far enough on the webpage of your first link, you’d seen this:
hyper-
prefix
- above, over, or in excess: hypercritical
- (in medicine) denoting an abnormal excess: hyperacidity
- indicating that a chemical compound contains a greater than usual amount of an element: hyperoxide
Basically, if ‘hyper’ stands alone as an adjective, it means what you think it means, because in that case it is just a clipped version of hyperactive.
If hyper is used as a prefix, as in hyperborea, the word that started this thread, it still means ‘over’ or ‘above’.
That it has acquired a new meaning as a standalone word does not mean that it lost its older meaning, which is still in use, obviously (hypersonic speed, hypersensitivity, etc.)
So yes, it does mean what you think, but it also means what I think. The difference is, that it is used as a prefix in the word this thread is about, so here it is not what you think.
And yes, my argument was weak, but thankfully you supplied me with better arguments 