The article, however, does not say they are asking for an apology for the disbanding of the order due to heresy, but for the torture and murder of our leadership . . .
In any case: Praise is due to the early Crusader Templars. PC or not. ;)
The Catholic Church and the Vatican were not responsible for that. The torture and executions of leading Templars were the work of Philip IV, king of France, acting on his own. He had a very uneasy relationship with the Catholic Church.
The Vatican later disbanded the order, and issued some statements which diminished their reputation. But followed in the wake of the French govt actions, and did not involve prison and torture.