Why does Facebook insist on spelling OK as "Okay"? Do any other websites or applications use "Okay"? OK is a jocular abbreviation for "oll korrect", not a word.
Wikipedia, for one. I went looking to confirm what you said, and found that the canonical page for the word/abbreviation on Wikipedia was 'Okay'[1] with a redirect to that page when you ask for 'O.K.'.
The page itself says there is no consensus as to the origin of the word, and links to another page[2] with a list of possible origins. 'Oll Korrect' seems like it's the definition with widest acceptance, but it's not the only contender.
I've seen 'Okay' used on other websites, though none come immediately to mind, and have never given a second thought to Facebook's spelling of the word.
Even if 'oll korrect' was the origin of the word, 'okay' is still perfectly acceptable to me. It would hardly be the first English word to make such a transition.
The etymology of OK is far from settled -- just check the Wikipedia page! I remember an etymology book of mine describing the puzzle as the holy grail. It's not even agreed that it was originally an acronym.
And regardless of where it came from, "okay" is certainly a word now, at least in the sense that it's widely used and in dictionaries.