Answer:
The statement is false. In general, a counterculture won't be supportive of the dominant culture.
Explanation:
The counterculture is the values, tendencies and social forms opposed to those established in a society.
The word can be understood in two senses: on the one hand, it constitutes an offensive against the predominant culture; on the other hand, it is a "counter culture" that remains (at least at first) outside the market and the means of mass formation, that is, in the underground.