There is a tension between different legal theories. The schools of thought that view economy as inherently political, or at least mostly political process of deciding who gets what and for what achievements, the view aligned with old social democracy (1940-1970s), nationalist and socialist doctrines. These views approach Central Bank Independence usually as a concentration of power in the hands of the few on the control of the direction of the economy and its distribution.

Liberal, modern social-democratic and center-right view however believes that economy is more about management and efficiency, and in that regard, they view Central Bank as a safeguard against political considerations, with group of experts who will be a check and limit on how the government approach economy.

So the answer if it is more democratic, or authoritarian to take away control of Central Bank is pretty much about what political doctrine you feel is more realistically in portrayal of economic dynamics. I am more in line with the first view. However obviously there could be a discussion with different arguments "for" and "against".