How asymmetric is the left-right polarization?

[buritobr]

In the left-right polarization, the two sides are not equal.
While all the leftists consider themselves leftists, many rightists consider themselves centrists, or they say that "the left-right polarization doesn't make sense anymore after the end of the Cold War" or "the left-right polatization never made sense".
I think that more than 70% of the texts in which the words "left" and "right" are used for politics were written by leftists. Many rightists reject the use of the labels left and right.
The word "right" for politics are used as an ugly word more often than the word "left".
In the German elections, the party "Die Linke" has 10% of the votes. There is no party "Die Rechte" which has 10% of the votes. We don't see the CDU leaders calling themselves "right-wing".
In the french elections between François Mitterrand and Valery Giscard d'Estaing in 1974 and 1981, Mitterrand considered that the election was about left vs right, while Giscard d'Estaing considered that the election was about far left vs center.
The same situation happenned in Brazil in 1989. Lula considered himself "left" and considered Collor "right". Collor considered himself "center" and considered Lula "far left".
There are many groups in the Left: anarchists, social democrats, American liberals, socialists, marxist leninists, trotskists, maoists.
There are many groups in the Right: non American liberals, American libertarians, conservatives, traditionalists, religious fundamentalists, fascists.
Although there are many groups in the Left, many of these groups share the same symbols: the red flag, the word "conrade", the May 1st. Many of them think that they belong to the same club and that they should have solidarity among themselves.
In the Right, we don't see the notion that all of them belong to the same group. Libertarians don't think that they should have solidarity with fascists (or at least they don't say in public, many Brazilian "libertarians" have positive views on the fascist leader Jair Bolsonaro). There are few rightists who think that all the rightists should cooperate among themselves despite these differences. They think that libertarians and the religious right can cooperate. But they are usually former leftists who learned that the polarization left-right was very important when they were leftists.