In general, you should only test code that's worth something to you. If you don't care whether some code breaks, don't test it. Similarly, if you don't care about the results, don't automate them.

I personally don't understand why you'd go to the trouble of writing tests if you're not going to look at the results, but some people are funny that way.

(As a side note, if you wrote your tests with Test::More, you could automate them through Test::Harness like the CPAN module does. (Appealing to authority, I wrote some of those tests.)