If I understand your question correctly, you are asking about the relative benefits/problems with the two situations:
- where is_paying = 0
- where paying is null
Given that both are in the data table, I cannot think of why one would perform better than the other. I do think the first is clearer on what the query is doing, so that is the version I would prefer. But from a performance perspective, they should be the same.
Someone else mentioned -- and I'm sure you are aware -- that NULL and 0 are different beasts. They can also behave differently in the optimization of joins and other elements. But, for simple filtering, I would expect them to have the same performance.
Well, there is one technicaility. The comparison to "0" is probably built into the CPU. The comparison to NULL is probably a bit operation that requires something like a mask, shift, and comparison -- which might take an iota of time longer. However, this performance difference is negligible when compared to the fact that you are reading the data from disk to begin with.