I think migration is a much easier argument to make than "civilization", especially when it gobekli tepi predates domesticated civilization by thousands of years, and cultivation of seeds began around twelve to fifteen thousand years before concrete evidence of settled civilization.
Still, if you're determined to link migrations to a single disaster, look no further than the link between the Toba eruption and the introduction of humans to Australia for the first time around ~70kya.
Not such an option these days.
So there could easily be other sites of similar interest but more ancient history - not mentioning that David Graeber made a fair point of rememebering us that even important and powerful civilizations dont always leave big archeological traces.
But of course, that's in point with your argument about sea levels.
I was quite amazed to realize that the Golden Horde was way more sophisticated and powerful than most other empires of its time, and still it did not had cities, nor farming, and left really few traces. And that was around 1300, not in prehistoric times.
Also, if you're interested in the relation between farming and civilization but want an adverse position, go read "against the grain". It's also quite mind-opening.
In some sense, this was similar to the Early Medieval Europe, where kings often had itinerant courts rather than permanent capitals.
You could also compare steppe empires to naval empires that were common in the Mediterranean. Both had vast expanses of low-value territory that enabled rapid travel. But the real value was in the surrounding agricultural land and cities.
This is a pretty common theme for steppe horsemen, right? You can link this to the fall of probably dozens of empires.
We are at 5%.