The film depicts a great variety of characters and each one tells us a different human story along with its positive values and its defects.
I quite agree with you.

Needless to say, when I speak about Soviet reality, I must rely on what I have read or was told. There is one character in the film (the Duke) who may be seen as a parody of a specific soviet leader: Brezhnev.

The film portrays the Duke as incompetent and disinterested in politics. He is very funny when
he learns of the possible war with England: he goes to the globe and asks, "Where is it, where, I ask you."

The Burgomaster acts both as a sort of tutor and as translator for the poor Duke.
Another funny and allusive scene.
Jakobina: Did you sign Baron Munchausen's request for a divorce?
Duke: Who signed it? Did I sign it?
(Burgomaster nods)
Duke: Yes, I signed it.
Jakobina: So he can marry Marta?
Duke: Why marry?
(Burgomaster nods)
Duke: Yes, he can marry.

The Duke seems to be both protected and controlled by those around him.
I read some anecdotes where the leader relies on texts provided by others, which recalls
the Duke in Gorin's / Zakharov's Munchausen.

Here’s a couple of anecdotes about Brezhnev (I’m not sure who created them, whether Russian or American joke-writer).

Suslov comes to the door three times and knocks. Each time Brezhnev gets up, puts on his glasses, and reads from a piece of paper "Who's there?" Suslov does not answer because he "forgot his glasses at home" or "forgot his note."

At the opening of the Moscow Olympics he five times reads "O" followed by stormy and lengthy applause. By the head gestures of the joke-teller, the listener understands that he is reading the logo of the Olympics at the top of the page.