Actually anyone taking it is enough, it showed up when the Turks took Edessa, when I was the Egyptians.
In other words, if you want extra GA points as Turks, Eggy and (maybe) Almohads, you should invade/own Antioch, Edessa, Palestine and Tripoli, then lose them to whoever is willing to invade them. After that take them back with a jihad to get the points. AFAIK you will get the same points per province as the Crusades give for each of these provinces.

Marquis