My life is too insular for this "outside committee member" nonsense. I have a hard enough time imagining two people from my own department who would be willing to write my reference/recommendation letters, so going outside the department is by definition approaching a (seemingly) random stranger and asking them to do me a favor. Perhaps it's just the impression my advisor gives of being completely unavailable to anyone outside my lab, but I don't have much hope for this process.
The first email request went out today. Now I will cringe every time I see that I have a new e-mail, wondering if it's the response. If/When the response does arrive, I will probably stare at the email in my inbox in mild terror, and avoid opening it for a day. This is exactly how I dealt with sending emails to prospective grad school mentors requesting information about their research. It's nice to know how much graduate school has changed me.