This is certainly interesting, though I would say that based on my understanding of how the current models work combinatorial problems would be an area where they could be particularly successful. They are pretty good at combinatorial creativity - its the exploratory and transformational aspects that are still pretty tricky, and I expect would come to bear in other areas of mathematics.
I wonder as well whether large-but-finite contexts can handle algebraic questions that require traversing up and down levels of abstraction, at least not without "thrashing".