I agree with you, PP - I have had sim instructors advocate both options, however I have actually performed a MTOW RTO from V1-20kt in an A321, and was stationary before I had remembered what all of my memory items were. The time available for turning a few degrees into wind, let alone for remembering which way is limited to the one or two seconds or so before the full stop, when the aircraft has speed enough to turn but not too much to cause you to leave the runway.
You can consider the wind all you like but unless you compromise the stopping performance of the aircraft (why would you?), you won't have much chance to do anything about it, if my experience is representative.
Stopping as quickly as possible and accurately diagnosing the state of the aircraft are far more important than clearing the runway or turning into/out of wind.