Short answer: No they have no significance.
But: Of course LINs have also an associated Status and Turn. But not necessarily those programmed by you when teaching your positions. Status is kept constant along the LIN move and has the value that Status happens to have when the LIN starts. Turn can change along the path and is created implicitly along the path. The motion interpolation always chooses each 12 ms cycle the axis values closest to the previous cycle axis values and on the defined cartesian line.
Fubini