I had a rather knock-down drag-out battle. And won. By a good margin actually. I stopped ASAP to repair, etc, etc, etc. Soon as I land. I had 4 crew ditch.. These were 3 level 4's, and 1 level 5.... Now, I know morale had gone down over the course of the fight... But with them being that high level (I know that's not hugely high, but they weren't exactly newbies) I was stunned to have that many jump at once before I could even get to a spice room. No intimidation/command/negotiation/etc test shows a failure to show why they jumped to readily. Perhaps a bit of a 'loyalty' variable so long-running crew don't ditch the moment something goes wrong?
Alex Fury - sorry they jumped ship. There are a number of variables at play, including their Faction vs. the Faction of the world (more likely to decide to leave on their own world-type), economy and population of the world you've landed on.
I think all (except maybe one. impossible to go back and check) were same as my base faction. Couldn't tell you the rest of them at the moment. I could try and see if I remembered to screenshot But you'd think that winning the fight, even if morale did drop from it... Would have kept them a bit happier.