No surprise... before 9/11 when we could fly in the jumpseat on FAM flights, I saw a couple of them doze off. One time in fact the copilot went in back to the bathroom for a long time, then on one of the screens a warning message came on ("L Pack" in yellow) so I looked at the captain to see what he'd do but he was asleep! Fortunately as I was debating whether to wake him (I figured if it was truly important the warning message would be in red and sound an alarm), the copilot returned and they just flipped a switch to fix it.
But to fall asleep with an FAA employee in the jump seat right there means they must be just as sleep-deprived as us controllers. I don't know how the cross-country red-eye pilots do it, because I can barely survive the mid-shifts myself. It's a serious issue.
