Their code is executing with a third party kernel, trusting that but not trusting the notification system which sits way above hierarchically seems like a very arbitrary delineation.
I've found that the best way to deal with this complexity is to ensure that any concurrent work is done in a fire-and-forget kind of style. Concurrent work is submitted to a IntentService (possible backed by a thread pool instead of a single worker thread to speed things up) and if it needs to talk back to the UI it does so via a local sql-db or similar construct. That way the UI can die and get restarted indepedently of the worker service and the worker service can update UI state without having to care about the UI existing or not.