You specifically insisted that Dooley is an orthodox spinner which he is definitely not.
Prior to the South African bowlers in the mid-1900s leg spinners did not really use the wrist, instead more or less rolling the ball out of the hand. This was less effective, but no-one went and redefined them as not being leg spinners. Bill O'Reilly also cut his leg break out the front of the hand, but no-one defined him as not a leg spinner. That's why the term wrist spinner is not necessarily appropriate for leg spinner, though the ubiquity of the conventional technique means they usually are considered synonymous (also, off spinners use the wrist too).
Abrar is absolutely a leg spinner, but with an unusual grip and release and no use of the wrist. The way he produces the googly is the same as a normal leg spinner does, by turning the hand around. Leg break on left, googly on right:
View attachment 34161 View attachment 34162
Dooley is harder to gauge as the BBL's rubbish production values preclude ever getting a clear view, but he appears to cut the ball out the left side of his hand, the opposite side to an orthodox spinner.