If the argument is "deadly accidents are up over the past decade", then yes, of course, we must point to data.
If the argument is, "the aviation industry might be on the verge of a steep decline in availability and/or safety due to recent political/financial problems", then what do you mean "show the data"? That doesn't make sense. It's a concern based on observation, which is fine if it's not presented as a fact.
And if it turns out that a specific accident is due to said forces - what, we don't address those forces, because "data"?
> Fatal crashes, overstressed controllers, and endless security lines reveal a system teetering on the brink of failure.
I have not read the entire article (paywalled), but the introduction sure seems to strongly imply that we're already seeing an unusually high rate of crashes.
"Rigor cleans the window through which intuition shines" - Ellis Cooper
Uh? Maybe you could explain what you mean by this a bit more.
2. "System collapse" would be unexplored territory, so how would statistical analysis be able to infer when it occurs?
2. See above.