I knew this had to be Diego.
3.8 hours into a 4.6 flight? I'd consider it safe to continue, but that's based on knowledge of my aircraft. The IRUs won't drift significantly in 0.8 hours, even without a position fix from the GPS or DME/DME. But again, I have no knowledge of the DC-8, and for them it may have been better to turn around. There is absolutely no need to jeopardize safety or put the crew in a legal situation just to complete the mission.
And sorry MikeD, I'm a young whippersnapper.
Random aside since ETOPS was brought up: In my two-engine jet, if you're inside of an hour, you've already exited ETOPS. Not a factor.
Being AOG in DG wouldn't be ideal

Wouldn't want to live there, but it was a beautiful place.