skusa,
Yes, the airline check-in agents took my I-94. I did show them my AP (I also had a photocopy handy just in case) but the person categorically told me that it was not necessary for my outbound flight.
On my return I had absolutely no questions asked by Indian immigration officials. Processing at my US port of entry (not Detroit) was a breeze. At the immigration counter the person put all my documents in a colored folder and asked me to go to secondary inspection office right next to the immigration counters. There they took my folder and asked me to wait. After a couple of minutes the officer called my name, asked how long I had been out of the country, my occupation in the US, and then returned my I-94 stamped "paroled until ..."
If I may add, at the airport in Amsterdam every Green Card, Passport, and of course my AP was examined very carefully. They even made some passengers traveling from Nigeria and Kenya wait while they verified their US Passports. I got off easy by those standards.
Anyway, carry all your documents and have a safe trip.