Good science is not assuming every anomaly in your data makes you Copernicus.
There dating puts this in the Eemian interglacial when sea levels were about 5m higher than today. So that means they would have had to cross thousands of years earlier. So you have a compounding series of unlikely events. A group of proto humans made one of the toughest journeys achieved by pre-Neolithic peoples, did so with the Mousterian tool kit but thrived for 10 000s of years, left virtually no trace then suddenly died out.
Whats more they did so in the country that trains the most geologists, archaeologists and paleoanthropologists in the world. People have been looking intensely at rocks in the states for over a hundred years, collecting fossils avidly. Its not like the Western Desert in Australia. Yet have missed something like 115 000 years plus of human habitation while collecting a wealth of evidence of the past 15000 years.
Its also worth pointing out the candidate species all had constrained ranges that are way outside being able to cross the Bering Strait. They were living in latitudes of around the south of France during the glacials when the journey would have had to be made, but they would have had to cross the Bering when average temperatures above there were about 10C colder than today. Cold enough for permanent frozen sea ice. You need Innuit level tools not bloody hand axes.
"Highly unlikely event" usually brings out the doe eyed romantics arguing we need to keep our minds open about
alien civilisations,
faster than light nutrinos and the endless
supply of "pre clovis" Americans. These stories invariably turn out to be bunk. You can argue that researchers need to keep themselves open to the extremely unlikely but the public? Did not happen until you get a wealth of new evidence.
Good luck hunting for the Loch Ness Monster though, you know never say never