No, discrete math is exactly the same regardless of your definition of "object". It is completely independent of that. Discrete math is important to any theoretical beings that have any concept of "objects" whatsoever. It would be mostly irrelevant to entities that have no such conception, but those entities are not writing math papers.
Which is exactly why I initially suggested that the structure of primes has more to do with how theoretical beings count than with how the universe propagates state.
