In terms of intent for duels, I differentiate between PC duels and duels with NPCs.
For PCs winning a duel gets you only the mechanical effects. You never get to force another player to do or not do something based on purely mechanical rolls- you can punish them with the mechanics however.
For NPC duels I use the gambit results in addition to the mechanical. Concede in first stage and you get to take a “”no, but” or a “yes, but”. Concede in stage 2 and it’s just a “yes, winner gets what they want” and concession in stage 3 gives a “yes, and”.