Push lazy jobs when exceptions are handled by MWExceptionHandler

Push lazy jobs when exceptions are handled by MWExceptionHandler

Remove the exit(1), which does not seem to be needed by any callers.
Doing so means that post-send updates can still happen, such as the
pushing of lazy jobs.

Better avoid showing exceptions in doPostOutputShutdown(), given
that an error may have already been shown. By the post-send part,
it's to late to show errors anyway.

Bug: T100085
Change-Id: Ib1c75323f222a0e02603d6415626a4b233e8e1c7