Can it be argued that only revolutions are the basis for the operation of the law of acceleration of history?

This statement is correct. The revolution arises from the dissatisfaction of the majority of the population with something. As a rule, representatives of the lower classes (peasantry) or the proletariat (workers) expressed dissatisfaction with their position, and the government paid little attention to their disagreement with politics. In order to stabilize the situation in society in the event of speeches, the government is forced to make concessions to the speakers.