The alternative to using private methods or reflectively mucking about with library/platform internals isn't always "do the same thing but with only public API"; it's sometimes "you can't possibly fix the bug or implement the feature that you want to". It sure does increase maintenance burden though.
So you'd tell customers "No, I'm not fixing that bug because doing so would offend my aesthetic sensibilities. Yes, I know you have a support contract, but I simply refuse to address your problem even though I could"? Or maybe you'd phrase it a little differently in public.