Power steering pulling right under acceleration in left turn

It could be so many things, hydraulic problem with the rack? You would think a pump problem would affect either side. If the Ackerman steering angle was greater on one side the turn in would be greater to that side but that would be noted during alignment and adjusted then. Are the tires a match and tire pressures OK? Bring it back to the tire shop and ask them to drive the car and see what they think and or recheck the alignment.