If you were in this situation yourself, what would you do if you saw a test failure? Is it different from what you'd do if you found it to be a success?

If you put it into a tier of support that states "I won't be proactively maintaining compatibility and fixing issues here", then your answer is "nothing." A failing test won't spur you to action, because of the support level.

So if the test result doesn't change your behavior, why run the test in the first place?