While i'm still extremely skeptical there's anything to this, especially with the total lack of professionalism in the initial "discovery", I'm not sure something this big is within their ability to control, at least if they're not right on the cusp of it.

This kind of science is almost inherently international, and I don't think they could possibly keep up "keeping quiet" all the potential successes.

That said, if there was one, I do think they'd at least try and fail.