All that working as a mercenary in the Great Sandpit for BWoS would achieve for you is a few years further away from an airline LHS job.
You might have been ace-of-the-base as a FJ mate, but airlines have a seniority list and that will count for nothing. If you want to stay off the list, go work for BWoS. Otherwise, kiss off the offer of working for 't Bent Baron and make a clean break into civil life.