Terms vary between (and even 'amongst') species.  I doubt that there was even a term 'pet quality', back in the day.
 
In pigeons, the term 'utility' seems to mean that the bird is not being used as a sport bird.  That can actually mean a pigeon from race lines that is being used to foster better racing birds or it could mean a breed that is used for eggs or squabbing.  Show Racers were supposed to be bred to be an example of conformation that is desirable for racers, but the breed generally doesn't have much of a chance against the performance racers in a race.
 
In hunting dog breeds, there is often completely different breeding lines between the show dogs and the active hunter lines.  Same breed just split into 'specialties'.  The aptitude for the show dogs to hunt might be drastically reduced and the conformation of the hunters might make them a 'joke' in the show ring.
 
Anyway, I'm learning about the various chicken breeds, some seem to have been hurt in their ability to be 'productive' in the way that they were originally intended, due to the 'show'.  Just as an observer, I'd say that Dominiques have not been hit as hard in that regard as some of the other breeds.