Unity Remote Problem on iPhone 5

When I run Remote on a iPhone 5 the touch behaviour is different to running the actual build on the same phone.

I suspect this happens because the Remote app seems not to be adapted for retina screen size. So the scope of x/y values it outputs are not as wide as they are on a native retina screen (480×320 as opposed to 1136 x 640 pixels).

Is this correct? And how can I fix this?

Not sure it helps, but here's the actual code:

 void Update ()
 {
     if (Input.GetMouseButton(0) && isRotatableM)
     {
         if (Input.touchCount > 0)
         {
             theSpeedM = -Input.GetTouch(0).deltaPosition.x;
         }
         avgSpeedM = Mathf.Lerp(avgSpeedM, theSpeedM, Time.deltaTime * 5);
     }
     else
     {
         if (isRotatableM)
         {
             theSpeedM = avgSpeedM;
             isRotatableM = false;
         }
         float i = Time.deltaTime * lerpSpeedM;
         theSpeedM = Mathf.Lerp(theSpeedM, 0.0F, i);
     }
 }