saeco:  I apologize if I misunderstood.  However, IMHO contact has nothing to do with the way points are awarded for a resignation.  Nor should it.  Points are properly awarded based only on the position of the resigning player's pieces.  A different rule would permit manipulation.  For example, suppose a player has not borne off and has one checker on his opponent's ace point.  The opponent has borne off all but one checker, and it sits on the opponent's two point.  The trailing player rolls the dice and gets 3-2.  If he plays the roll and his opponent moves, he is guaranteed to lose a backgammon.  He should not be able to resign (or time out) and lose a single game or a gammon.

If a player wants to avoid losing a gammon in a contact situation -- or even in the absence of contact -- he has to play until he has borne off a piece.

There are sites where a player can offer to resign a single, a gammon, or a backgammon.  This turns out not to work very well, because players may offer to resign for fewer points than the opponent is entitled to, inadvertently or intentionally.  If the opponent isn't watching carefully, he may accept and then feel (perhaps rightfully) that he was cheated.