One thing is for sure... if I'm one of the crew I'm, most certainly, NOT leaving my Passport and Flight Crew licence behind; which is why I used to keep those documents in my inside pocket of my jacket. Irrespective of whatever country I might be in I wouldn't want to be reliant upon a Consulate service to help me get out of that country. Old habits die hard... if I'm a passenger, my Passport will be close to hand; it WILL go with me out of the door!
Imagine the faff of trying to get a replacement licence when you eventually return to your home Port? Also, if you're stranded in 'Bongo Bongo Land' without a Passport... no, I don't even want to contemplate that horror!
TCF