I disagree. “Hyperlink” describes a method of input, and there is at this moment an active thread on the forum about a game that uses hyperlink input exclusively to play a game that is parser-based. (The links you click, some styled as buttons, are commands that are run through the standard Inform parser.) Quest also has a hyperlink interface for parser-IF.
The problem is that our focal categories for each of these game types are actually just the zones where multiple domains have happened to overlap, due to historical contingency. Input method isn’t the be-all & end-all–you can have CYOAs where all input is typed, and parser-based IF where all input is clicking on links. (Obviously, you can have CYOAs that don’t use hyperlinks at all–cf. the eponymous series of books!) Moreover, CYOAs could be constructed in which at least some of the game is organized by a world model, while you could conceivably parse typed input in such a way that you didn’t need a world model (e.g. ELIZA).
I don’t have an answer for how the terminology should work. But I’d like to see more and more games that problematize our distinctions.