Only if the rate of selection is larger than the rate for mutation to restore variance. Humans tend to put a LOT of selection pressure and force change over very few generations. Yes, that can use up the available variation in the population. But it is the role of mutation to restore that variation. If the changes are slow enough, the variance stays the same and continued change is possible.
But it is true that forcing change too fast can lead to problems, including extinction. This is why most species that have ever existed are now extinct.
How fast are these breeds produced? How does that compare to the standard mutation rate?
Too fast? Every single creature in the fossil record remains the same as the first fossil found for that creature until it goes extinct. Your claimed relationships rely in every single case for every single tree for every single creature on "missing" common ancestors....
What change??????
Mutation restores nothing..... Mutation deletes and destroys...... The genome has a repair mechanism specifically for trying to repair against those mutations you claim are so beneficial. yet every single lifeform has a built in mechanism to try to stop the very thing you claim is the cause of improvement.... Because it isn't an improvement, but a degradation from a more complex genome and more fully functional to a degraded and less functional genome over time.....
This is why the Grants understood through their observations of the real world versus theory and laboratory testing that it was "mating" that produced the variation...
PHENOTYPIC AND GENETIC EFFECTS OF HYBRIDIZATION IN DARWIN'S FINCHES. - PubMed - NCBI
"Hybridization increased additive genetic and environmental variances, increased heritabilities to a moderate extent, and generally strengthened phenotypic and genetic correlations. New additive genetic variance introduced by hybridization is estimated to be
two to three orders of magnitude greater than that introduced by mutation."
because mating affects several loci at once while mutations affects a single loci and makes minimal difference... except to add errors over time..... But your pseudoscience has devolved so much that they now consider any permanent change to the genome a mutation, and so confuse all the changes brought about by mating as a mutation, when that is a natural built in function of the genome.....
It is your flawed belief on the condition of the genome that leads to your error. it is not advancing from a less complex state to a more complex state, but from a more complex state to a less complex state. The genome already has within it all the potential variation ever observed....
Once that variation is exhausted, the only path is continued existence as it is or extinction..... Even your own belief in time shows this as all fossil creatures remain exactly the same until the go extinct. the new forms do not come about by evolution, but by mating..... Husky mates with Mastiff and produces the Chinook, the husky remains Husky, the Mastiff remains Mastiff, and a new form not previously seen in the record comes into existence fully formed and functional. Neither the Husky nor that Mastiff evolved into the Chinook....
The rest is simply incorrect classifications... In reality these.....
Are no more different than these...
Simply variation in breeds of the same respective species.......
There is no evolution of one into another. They simply can not see what mated with what from a pile of bones, and so incorrectly assume that one split to become others.... Ignoring the evidence right before their eyes that Husky mates with Mastiff and a new form, the Chinook, comes suddenly into existence in the record where it never existed previously.... And so are led to assume incorrectly that one evolves into another when it couldn't be further from the reality.....