Then the disrepect you everytime they say no to a rematch.It is said that refusing a battle is bad manners.
*Facepalm*Sidney: Hey kid, do you want to battle?
Sidney: Okay, right.
Phoebe: Wanna battle?
Phoebe: Right. Go on.
Glacia: Will you ever decide yourself to battle or not?
Drake: Are you a wimp?
Drake: I don't battle wimps.
Steven: Here you are! Let's battle!
Steven: Let's register your team into the Hall of Fame!
I'd rather have this enforced the other way around as well. If there actually is a rule you can't decline a battle, I should be able to battle any trainer anywhere in the game at any time I want, without a VS Seeker or a phone.For one, an early trainer states in R/S/E that you can not refuse a battle. I think he brings up a law or something like that.