Yeah, that's what I thought you'd say. And I totally agree. But there's one problem. This argument dovetails with, and supports, Hayabusa's "Great Filter" argument that you maligned above as being an ill-informed product of "pop sci fi." His was a different way of framing the argument. He framed it as: sentient species have a tendency to kill themselves off before they could find another sentient species, or be found by another sentient species. I would have added to his argument, "or die off from natural causes, such as the collision of celestial bodies, etc." Otherwise, it's basically the same argument you just made. If sentient species tend not to last terribly long, there's must be reasons for this. Our own sun won't burn out for billions more years, but it seems unlikely we'll still be around when that happens. The reasons can only broadly be either extinction by natural cause or extinction by self-immolation. Pretty much what he argued except that he failed to mention natural causes.
So basically, you just derided his point, then supported it with your own argument. You would have been better off sticking with how interstellar travel is nigh impossible. Instead, you had to add another argument to show how smart you are, and in doing so, you unwittingly supported his point.