[Yoda]

For a hitter, would the base of the swing be
pointing a little to the right of the target
line/parallel plane line? Does not the base
of the plane change?

The Hitting (12-1-0) and Swinging (12-2-0) Stroke Patterns share the same #5 Component Variation, namely, the Square Plane Line (10-5-A). Hence, they share the same Baseline. Only the Thrust -- Muscular or Centrifugal -- varies.

The Hitter's Baseline changes only when he adopts the Angle of Approach procedure (2-J-3-B). That is a whole 'nother kettle of fish, one evidenced by a search of the significant body of knowledge on this site.