If the incidents that made the rounds here in the last few months are any indication, they'll start out insisting you pay no matter what. You'll then have to write a blog post about it, post it to Twitter, HN, and Reddit, get a couple hundred comments expressing anger at the provider, and wait for someone from their PR department to see it. Only then will they finally waive the costs.
Good on Fly.io for trying to handle such situations more sensibly.