First of all, what is a pet cat? This notion is defined in contrast to the notion of working cat and the notion of breeding cat.
There are still cats that work on farms. They are sturdy cats, usually domesticated cats in common language. They are usually found in our countryside, protecting the farm surroundings from all undesirable animals, especially rodents.
On the other hand, breeding cats are essentially pedigree cats, which are born in catteries and give birth to pedigree kittens. They are often shown in shows where they can be rewarded with titles for their beauty. They are cats that do not go outside or have access to a secure outdoor; they live mainly in medium-sized Catteries in France.
Pet cats, whether purebred or stray, are the ones sharing our daily life, in cities and countryside. They have supplanted the dog in recent years in France.