On one level, they admit that finding solutions and generating understanding are non-overlapping magisteria. They use this admission to make the point that AI models are not generating understanding by finding solutions.
But on another level, they assert that AI finding solutions somehow breaks the process of generating understanding.
In other words, they simultaneously do and don't understand the non-relationship between finding solutions and generating understanding, and they choose which mode to operate in depending on which helps them score a point against AI.
The only reason we have historically perceived a link between finding solutions and generating understanding is that the problem space was larger than human cognition allowed us to search efficiently. So we pretended, in a "security through obscurity" way, that finding a solution implied understanding. It's inconvenient that we can no longer do that, and institutions will need to adjust in response, but it doesn't break the foundation of mathematics.