(Oh, was that your book? I saw a positive review of it online lately, nice job!)
You’re right in how you say that it’s tricky to give an alternative term, especially if your story is narrative driven as a CYOA happens to be. People writing something akin to Fighting Fantasy can probably use the Gamebook term, as I likely would, and I would use that term with COG titles as well (even though most titles are far more text driven than a classic Fighting Fantasy book would be).
Interactive Fiction is the term I would use for all types of the genre before I then divide between pure narrative (Choose Your Own Adventure) and stat based, possibly involving dice and combat (Fighting Fantasy). I like to assume ALL Interactive Fiction (be it in a book, a mobile app, a movie or a video game) comes somewhere between those two core groups, outside the testy area of Reader Interactives (which I have already told my distain for in how people confuse it with CYOA style fiction).
To those who haven’t heard of Choose Your Own Adventure books before, that’s kind of understandable to some point. The last classic CYOA book Mayday! was released in 1998, over twenty years ago now. Some children of the 90’s and early 00’s like me might associate CYOA style fiction more with the Give Yourself Goosebumps Series, since that was the range back then, alongside the odd spinoff like the Animorphs getting a couple interactive books… but those were essentially the same thing for kids of the 90’s as Choose Your Own Adventure and Fighting Fantasy had been in the 80’s…