I don't think they are mutually exclusive, but I often see quality and price advertised separately. Fast food (McDonalds, Wendy's, KFC, etc) advertises heavily on price, perhaps because their demographic is more price-sensitive (or has stricter economic constraints). A fast food/fast casual restaurant that advertises more on quality (Chipotle, Cava, Panera, etc) is going after a different demographic that is probably more selective about food than immediately price sensitive.

This is purely observational based on looking at fast food restaurants in the city and suburbs. It would be interesting to see how it varies across regions.