The phrase
"quality offspring" means having children who are healthy, intelligent, and successful.
Full definition
Unfortunately most pet shops keep puppies in poor conditions, and are supporting backyard puppy mills / puppy farms, where the breeders are more interested in dollars rather than helping to
breed quality offspring.
Polydactyl cats without dewclaws are disqualified from shows but may safely produce normal - footed show -
quality offspring which can be used in breeding.