1/250 s isn't enough to freeze the motion of my 5 year old when she dances - I doubt your shutter is freezing the dancer. The duration of the flash is much shorter, particularly if you set the Einsteins to action mode instead of constant color temp. In color mode (default for the Einstein) a full power pop is 1/540 s, as you drop power it gets faster (1/1700 s at 1/2-power, ~1/8000 s at min power). Action mode is a little faster.
You just need to make sure the shutter is fully open when the flash fires. At speeds faster than Xsync (1/200 s for the 5DIII), the second curtain starts closing before the first cutrain completes its traverse. Going 1/3-stop slower than Xsync ensures the curtain is fully open with a cushion for trigger timing not being perfect (it rarely is with 3rd party triggers).