That could work. Or use the strap but pipe wrench over it to grab between two of the 4 core wings. I save timing belts off cars for things like that, the toothed belt can make up part of a strap type tool cobbled up in seconds. Just whatever you grab make sure it's on the BACKside of it. The front is only glued down with a minor press fit, you can twist the rotor core in half. The center raised boss with the bolt hole is part of the back half core.
The torque there is high, around 75 ft.lbs. since torque is all that holds it on, there being no key of any sort.