I don't see anything to indicate this is a tubular issue.
It's an unusual thing to happen, and there might more going on than just the eyelet coming loose.
But the same thing could happen with a clincher, and a tubular might be easier to fix.
If there isn't anything wrong with it, you could probably just remove the top eyelet all together.
I've had a half dozen pairs or so and several didn't have double eyelets.
But if you're talking about the bottom coming out of the rim - yeah, that's terminal.