I think that is true. Here is a video of another F-16 birdstrike.
http://jeremy.zawodny.com/video/F_16_vs ... ection.wmv
The pilot tried restarting and stayed in until he had to eject.
That video is actually mislabeled all over the place, it's actually a Canadian BAe Hawk taking off on a training mission, not an F-16. You can tell because it's not "Bitch'n Betty" that's telling them their airplane is broke, it's a guy with a silly accent like the one you guys across the pond have.

Here's a quote from another forum:
The aircraft is a BAe Hawk that is flown by the advanced students at 2 CFFTS (Canadian Forces Flying Training School) out of 15 Wing, CFB Moose Jaw, Saskatchewan, Canada.
The student and IP pulled up to the right (north) off the inner and both ejected safely. The IP suffered some lower back injury while the student is fine.
That video is scary though, watching those last seconds before the crash...
