For Tested/Untested:
-Generated and Starter pets come up as untested. Which, technically they are, but there is no option to test them, either, their traits are just listed by default. Would be convenient if they could be removed from the search, since presumably people using this filter are trying to find pets that need to be tested.
I mentioned in chat that some regens were coming up untested with no option. They were also generated, I just didn't notice, so I think generated are the main issue here

For Mutated/Unmutated:
-Exclusives come up in this search. Again, technically they are all unmutated... but they technically can't be. I suppose this could just be mitigated by selecting Tamed as the type though

Nothing I'm noticing at a glance with the fert/infert option, that one's pretty straightforward to begin with