Well, that cuts both ways, so it depends on your viewpoint.
If you're off the street, the odds are damned long, but if you get the call, you're going to get an immediate class date.
If you're QX, you'll get an almost certain chance to interview, at some point. But if they do say yes, (and that's been wildly variable over the past year), you're going to swim for a looong time.

Pick your poison, choose your odds.

Yes, AS's stated goal is to hire 30% QX, and they've been doing that. But the point is that the total numbers we're talking about are relatively minuscule compared to the rest of the industry, and any small disturbance causes effects out of all proportion to their size.
It's a real long-shot to get hired at AS from any direction...