A test that never finds a bug is poor value.
Depends on why it never finds a bug. Which highlights the importance of testing the tests.
Ideally, as long as it can be demonstrated that the tests are correct, then you want the tests to find no bugs.
FWIW, our testing manager complains loudly when his team finds any bugs. In development, we do, of course, run tests, both automated and manual, both our own tests and our "ports" of their tests. Unfortunately, we can't directly run their tests because the testing team uses LabView and we don't. We've asked many times for "run time only" LabView licenses, but, so far, we have not succeeded in explaining to the C-Level managers how LabView would be useful to us.