Authoritarian regimes don't have "rule of law". The entire point is that all institutions in an Authoritarian country are under the control of the authoritaria

Authoritarian regimes don't have "rule of law". The entire point is that all institutions in an Authoritarian country are under the control of the authoritarian leader/party. If the judicial system has independent power and can hold the rulers accountable when the violate the law, it isn't an authoritarian regime. This is precisely why the US has a system of checks and balances and why the judicial system is an important part of that.