I think you are pointing out a legitimate dichotomy that exists, but you are incorrectly labeling them as "left" and "right". This is orthogonal to the left-rig

I think you are pointing out a legitimate dichotomy that exists, but you are incorrectly labeling them as "left" and "right". This is orthogonal to the left-right spectrum. There are examples of both of those positions on both the left and the right. For example, for the first one, there would be Stalinism on the far left and absolute monarchy on the far right. For the second one, there is anarchism of the far left and anarcho-capitalism on the far right.