I don't feel that I ever completely put all the pieces together on this one. It also seemed to be a Time Cave that required reading all the paths in order to figure out what was going on...
Personally, I'm totally up for experiments where the player doesn't have a lot of agency over the plot. ("Not much plot-level agency" I think must be what you mean about "not very interactive"? there's lots of text variation, so I'd call it interactive in that sense.)
Yes, it is Time Cave, but it is a very short piece. Just 3 to 5 static threads.
About not being very interactive, I mean that you can have any number of unaltered threads, but have them simulated in some way. A-la Inkle, who is my ideal kind of IF for CYOA (IMHO). You know, to have action in every step of the narration, no matter the outcome (like in Rameses). But Snake's Eyes, as others of the contest are little time caves with wall of texts. Or sometimes one one thread with interaction for pacing.
Definitively Snake's Eyes has not text variation at all.