This was my attempt to make up a story where the math would match something real:
Statistically comparing two samples of equids would make some sense if Dr. Yagami had sampled 2987 horses and 8 zebras while Dr. Eru had sampled 2995 horses and 0 zebras. Then Fisher's exact test could tell us that they did, with high probability, not sample the same population with the same methods.
But in the actual case what we have is just a "virtual sample". I'm wondering if there are any conceivable circumstances where a virtual sample would make sense.
I don't think that there's any examination using a statistical test that uses a virtual sample that can't be done as well or better with another statistical test. The whole point of Fisher's is that you have four samples from an unknown distribution. If you pretend that there is a distribution that is unknown under the null that is in fact known under the null, you are throwing information away.
Go zebras! Bevtvany grkg erzbirq nf vg unf freirq vgf checbfr.