No, it is partially falsifiable. LLMs clearly don't understand the concept of quantity. They fail at tests designed to assess number understanding in dogs and pigeons; in fact they are quite likely to fail these tests, because they are wildly out of distribution.
We don't know how to demonstrate actual understanding, but we sure can demonstrate a lack of it. When it comes to abstract concepts like "three" or even "more," LLMs have a clear lack of understanding. Birds and mammals do not.
Which "tests", exactly? Do tell. Tests where LLMs don't beat a human baseline is genuinely hard to come by nowadays.