No - they're both convinced they're the injured party, and the other is to blame.

[He glances between the two shop fronts, both innocuous enough to the eye despite the ridiculous feud between the owners.]

I didn't get the impression that either of them was quite willing to ruin their own fortunes to get one over on their rival. If the Queen is willing to intervene, it's possible the best way to keep them from ruining each other would be to make it clear that any sudden setback suffered by one of them would be suffered by both of them.