Yes. Leftists trust the public sector, distrust the private sector. Rightists tend toward the opposite. True libertarians (classic liberals) distrust both equally.
They distrusted centralized government, but they also distrusted pure democracy.
I like to put it that “true liberals” such as you and I are skeptical - both about society (else we would not want any government at all) and government.Faux “liberals,” OTOH, are not skeptical at all about government.
It is acquired wisdom and experience only that teach incredulity, and they very seldom teach it enough. — Adam Smith, Theory of Moral Sentiments (1759)