Military flying is risk taking. Flying itself is risky.
Military aviators actually are wonderful at mitigating much of the risk.
Those are huge stereotypes and if that is what someone believes then they are as misinformed about military fighter aviation as they are ignorant of typical pilot behavior.

Yes - showboating is the sole purview of military fighter pilots

They certainly wouldn't want the multi-tasking abilities and attention to detail that *most* fighter pilots would bring to the table. They are much more likely to lose control of themselves and come into the break for landing in the corporate jet and put every to sleep in back.