If you've ever held an influential job -- even briefly -- with the No. 1 player in a big industry, there's always someone farther down the pyramid that is willing to give you a second chance, third chance, etc.
No matter what got you fired.
Think of it from the standpoint of a small-company CEO, on the margins, trying to get traction any way possible. Yes, 90% of them won't want to hire you -- at least on 90% of the days that they come to work. But inevitably, one of them will say: "Let's give it a try." They need brainpower. They need people who have played in the big leagues. And the notion of taking a risk on someone that their archrivals have discarded ... with at least the faint possibility of making it work ... is very hard to resist.