When I am on the hook like that, I think about existing problems at a high level, scribble some docs, or read some educational material.
Maybe I don't get it since I have a BigCorp job, but I've always got tons of little things I can do, if/when I want to. That sure seems like significantly better use of the companies time. Making the argument that "well this shouldn't happen!" is hardly solving any problem.
Interruptions are a fact of life, embrace them when they can't be avoided.