Obviously speed,or a modicum of it is needed in a dogs makeup, but, if it was the be and end all, breeders would have sought out sprint greyhounds ,would they not?
The problem with this rational is that "sprint greyhounds" have not been selected to catch and kill shit. Only to run in a straight line. So, to answer your question, no breeders would not select them dogs. Not arguin just showin you the flaw in that rational.