I feel like people who make claims like the above are a bit divorced from reality. What would have usurped it as the reigning theory of syntax? OT Syntax? Maybe some sort of extension of DM (itself a spawn of generative ideas)...? Functionalist approaches are still a thing, but I don't think they're any more in vogue than they were 20 years ago.

NLP/Comp Ling is another story entirely, of course, as are semantics, pragmatics, experimental ling, phono pursuits, etc. But for hard syntactic theory I don't think the generative ling is going anywhere.