Yes, but they're not all the same species, just as tigers and pumas are "all cats", but they're not the same species either. And there are 400,000+ species of beetles which are "all beetles" despite the fact that they come in a vast variety of forms and lifestyles.
Caught on yet, or do you need a picture?
No need for a picture, we've already caught on to the fact that you cluelessly think that all kinds of canids are exactly the same thing, no matter how stupid that claim is and how obviously false it should be to anyone with a double-digit IQ or higher...
And the reason that species is such a loose term is that men classified them. Now men are wanting to use those classifications which they imposed as a ground for saying a dog isn't a dog because a species label applies to one dog but not another.
As I said, species is a "loose" term. You'd argue the same about "kind". I would agree with you. That doesn't mean I give you a pass. Sorry. Try again.
The one on the lower right looks a lot like a terrier.