It depends on the position and his compensation; this has nothing to do with respect or not. He'll resign if he feels he is lost and he will continue if he believes he has fighting chances. In Carlsen's case, he is known for fighting in equal (not the same as drawn!) positions and pulling out a win.
Let us also keep in mind that Carlsen is over 450 rating points higher than a 2400. Would you resign down a pawn against someone 450 points lower rated than you?
At least for myself, I'm seldom resigning at this moment here. Perhaps play on for a few moves and resign if the position doesn't improve itself.
So...let's say Carlsen has blundered. He's down a clear pawn for no compensation and queens are off the board.
Not blitz. G120 or slower. Is he resigning against a 2400?