This is the way it should be, but don't count on getting IDBed in this situation, at least not without a lot of effort on your part. There was a thread on here a while back about exactly this situation, and the pax in question was treated as if he had simply missed the flight. He tried to follow up with CO for compensation later, and got the stonewall until eventually CO Insider intervened and made things right.
If I remember corectly that person was at the gate by or @ T-15, had they gotten there @ T-10 Im sure they would have gotten nothing in comparison to what they did if anything at all
Keep in mond people the cutoff is NOT the listed time of Departure but 15 mins before that. So getting there even 14 mins before has you there NOT in time