Let me show you the glaring problem with that argument. Did you know that both of the Space Shuttles that crashed carried two women and one Jew? In fact, in case of the Challenger, one of the women was Jewish. There has never been a Space Shuttle crash when the crew was all-male and included no Jews. Does that mean they should never put women and/or Jews on the Space Shuttle? I mean, the odds look pretty awful, don't they?
This is what in logic studies is referred to as "fallacy of relationship". Just the fact that a factor was concurrent to an event does not make that factor either causal or contributory. It can be just concurrent.
Let me show you another example of what's wrong with that thought pattern. You're driving down the street. The limit is 30 and you're doing 32. A kid pops out of a driveway, you have all of 2.5 feet to stop. Of course, you can't stop and the kid gets road-pizza'd. Outfits like IIHS will use this to argue that speed kills, because you were, after all, speeding. Never mind that you could have never stopped from 30 any quicker than from 32.
My point is this: maybe all these guys were, in fact, incometent. I don't know any of them, I can't state with any certainty one way or the other. However, I don't see how Gulfstream (or any other carrier) can create an idiot. If you were one before Gulfstream, odds are you will be one after. Similarly, if you were good before Gulfstream, you'll be good after. Meaning, Gulfstream is a concurrent factor, nothing else, unless you can show me some conclusive evidence to the contrary.
For the record, I didn't go through Gulfstream, in fact, I've never even been to Florida.