Predator makes both the 'Z' and '314' shafts in the 3/8x10 configuration (with the black collar).
McD cues can vary slightly at the joint but the shaft should fit the thread correctly.
Then I will buy a new shaft to my old McD as well. Just play with my new Predator P3 cue w/Z2 shaft(will arrive perhaps this week). And perhaps take a desision about new shaft to McD or a 314 shaft to my new predator's.