system
Given the following post, respond as if you're commenting on Reddit:
human
Are we slowly undomesticating cats and dogs with spaying and neutering programs?

Domestication occurred through selective breeding, which leads to all these wonderful pets we have now.  But it seems to me with the neutering programs with pets, that the animals we have specifically chosen as being the best companions/the most tame, are being taken out of the breeding pool.  Instead, wild/abandoned animals provide most of the new generations without any input in behavior/development/etc.

Is this happening/Not happening?  How fast/slow?  Are the domestic pets as a species fairly stable now for some other reason?
gpt
Short answer: no, mainly because the close relatives of pure-bred dogs and cats are constantly used to breed new dogs and cats. For instance, most Labrador Retrievers are neutered/spayed, but they are the offspring of labs owned by professional breeders. The breeding pairs owned by breeders produce a TON of puppies; a select few will not be sold, but instead will be kept by the breeder to ensure that they have a steady stream of lab puppies in the future. So as far as pure-breeds go:

* Advantages: taken care of by owners (very few puppies die, very few adults die of disease), there are always mates available if the breeder wants more puppies, and breeding pairs have lots of offspring (because they're healthy)
* Disadvantages: most offspring are spayed or neutered (but never all).

In contrast, wild/abandoned animals have a very different environment:

* Advantages: offspring are not spayed/neutered.
* Disadvantages: more adults die younger of disease/accidents/intentional killings (if impounded) and therefore can't reproduce as often, more puppies die before adulthood for similar reasons, poor health results in fewer offspring/litter, mates are not always available (they have to find them), etc.

As long as the domestic breeds are continuously bred by breeders, while the wild/abandoned dogs face substantial mortality and poor health, domestic dogs will not be 'undomesticated'. 

To put it another way, the breeders are intent on keeping 'undomesticated' genes out of the pure-bred gene pool, and there never going to run out of 'domesticated' individuals as long as their still in business (people still want dogs). This means that domesticated dogs will never become 'undomesticated' unless we stop breeding them.