All the sources you mention are characteristically vague on what
defines a location as a center of domestication. The practical
definition seems to be that for each race of cows, within its area
they have picked the place with the earliest archaeologically
documented transition to farming as the center of domestication for
that race. And as I said, much of NEAsia is under-investigated
archaeologically. Therefore, Anatolia might have to give up the prize
one day.