The autumn salad has one of the lowest, I suppose you could call it, "base qualities." When cooking meals with low base qualities, even after you've piled on all the possible boosts: level 10 cooking, best equipment, best ingredient qualities, you'll still likely fall short of perfect until you've prepared it enough times. It's especially difficult to deal with the salad because it isn't a stove top dish, and only uses two ingredients instead of three, robbing it of two quality boosts completely.
Granted, that doesn't directly answer your question. No, counter price does not affect cooking quality, just cleanliness and room score. However, if you were to purchase a food processor and use that, instead of a counter, to prepare your autumn salads, that WOULD add a boost to meal quality.
Hope that's of some help.