I understand about the center screw. One puller I have might be that small (and I do have a 1/2-20 tap,) but I haven't checked, and it seems a little puny for the task. I have another that's way bigger than that. But that brings a thought to mind, that I could just buy a nut and tack weld that to the plate to engage the center screw.
Currently using that plate as a steering wheel puller, I just set the plate against the end of the steering shaft, tighten the bolts and tap on the plate to get things moving.