Varieties of criticism
Conservative criticism has nothing much to do with "left-wing" or "right-wing", because left-wing people are often very conservative, in the defined sense, while right-wing people can also be very radical, in the defined sense. The difference between "radical" and "conservative" has more to do with the belief in whether "a change to something genuinely new" is really possible and necessary. Radicals typically believe strongly that such change is highly desirable and necessary, and that it can be achieved. Their criticism is that there is "not enough" change. Conservative critics, by contrast, are very skeptical about any such change, because they feel the change is really "just another form" of something that already exists.
Right-wing authoritarianism
Although authoritarians in North America generally support conservative political parties, this finding must be considered in a historical and cultural context. For example, during the Cold War authoritarians in the United States were usually anti-communist, whereas in the Soviet Union authoritarians generally supported the Communist Party and were opposed to capitalism. Authoritarians thus generally favor the established ways and oppose social and political change, hence even politics usually labeled as right or left-wing is not descriptive. While communism in the Soviet Union is seen as leftist, it still inspired the same responses. Furthermore, recent research indicates that political progressives can exhibit the qualities of authoritarianism when they are asked about conservative Christians. This leaves questions over what makes various ideologies left or right open to interpretation. A 2017 study found evidence that was suggestive of the existence of left-wing authoritarians.