No...
Left means ... the cutter follows the contour on the left side.. this is "climb" milling (if cutter is rotating CW)
If the chain went CCW then left comp is placing tool inside.
If the chain went CW, then left is placing tool on outside..
Ie the big and small arrows when chaining... big arrow is the profile direction... small arrow is the cutter side
Chaining direction is taken the from closest endpoint to the other end onto the next contacting entity.
It pauses if there is a branch that a choice of direction is to be made by you.
Hint... do not start contours in a corner as lead ins & outs will either be omitted or may cross over your profile ( if you cancel gouge checking), you can set to start at the midpoint of your 1st chain entity.. found in "lead in/out" settings of that toolpath operation.
If the start of chain moves from your pickpoint, then you have errors on the chain ( branching, double entities, breaks, endpoints too far away to chain)
Another hint... in toolpath parameters, the "geometry" item, you can modify, add, change startpoint etc) by r-clicking on the chain... you get another "editing" menu