Absolutely a form of domestication, just in the way short wheat and buff chickens are instead of the way floppy-eared friends are.

"Ignore everything else to single-mindedly go after prey" is, in the wild, a great way to get eaten by slightly larger predators.

Of course, otherwise you get a Siberian Husky that hunts everything that moves, including chicken. It's only a dog only when 3 ft away.

Just making fun of the "oohh aaah le ancient races will ignore humans. le epix"