Since the jumper's run and flight are relative to fixed points on the rotating surface of the earth, the differences cancel out. Neither direction gives a jumping advantage.
An observer at a remote point that is stationary with respect to a line through the earth's center would see the EASTWARD-running jumper's running speed as INCREASED by the rotation of the earth. BUT -- while he is in flight, his landing point rotates AWAY FROM him by a compensating distance... (He is "chasing a moving target...")
The opposite is true for a westward-running jumper. With no wind, equal effort produces equal jumps.
Once contact is broken, (most of) angular velocity is converted into linear velocity. That's what killed Goliath... '-)
Placemarker