Secondly, adding the runner feature to a specific layer, and then selectively blanking the layer, upon repaint, will blank the centerline (axes, 2D features associated with the solid geometry). In part model, blanking a solid feature ONLY removes the 2D geometry, as I said, the centerlines.
In drawing mode, the shown axes could be erased selectively, by feature, etc.
Hiding the feature associated with the undesirable centerline will remove the entire feature from view until Unhidden.