Blown bottles won't prevent a re-start. If you have two and the second fails, and you don't have a fire indication, you may end up reconsidering on the former engine, There are reasons to shut down that don't necessarily preclude a later restart. There are procedures which specify one or both bottles as part of the shut down, and certainly if you'd had an issue that caused loss of both bottles, and you had shut down a perfectly good engine, you would restart if you needed that engine.
If you arrive at such a point in space and time, things have gone far enough sideways that you're beyond published procedures, and beyond concern over the re-start, such as both engines shut down. It may be time to rethink starting the engine.