>> Her claim is that any solution for the BHIP cannot be falsified, and that strikes me as too pessimistic for two reasons.
No. She said there isn't any data. I know the word falsify has become prominent in the last 15 years or so, but a "theory" that doesn't agree with some real world data is just a hypothesis. In other words a theory needs confirmation in addition to not being falsified. This is where the divide should exist between physics and mathematics. You can have a bunch of cool math, but that's not physics. It's not scientific theory by itself. You can hypothesize that it describes the real world, but until there is confirming evidence that assertion is just mental self-gratification.