I figured the point of the duel may be to punish the transgressor without resorting to the 'barbarity' of a fistfight, the 'risk' of mortal combat, or the further dishonour of not giving the fellow a sporting chance to defend himself.
Assuming that duelling has any point at all!![]()
Many noblemen and gentlemen boxed: bareknuckle. The reason that a fistfight won't do as a duel is not that it is 'barbaric', but that it is not lethal enough. Without the risk of mortal combat, a duel demonstrated neither the willingness to risk death nor the willingness to deal it out in defence of one's honour.
Look at a list of famous duels, such as that in Wikipedia. Quite a number of them involve one participant deloping or refusing to fire. (Eg. Wellington's duel with Winchelsea, Hamiilton in his duel with Burr.) Those men were obviously not there to punish anyone.
In many cases the offending party is willing to apologise after the duel. After demonstrating his willingness to fight on a point of honour he surrenders the point itself. He has had 'satisfaction' in the opportunity to demonstrate that he is prepared to kill or die over a wound to his self-esteem, or rather than be intimidated into an apology.