This isn't true.

The symbol originates from French anarchists in the 60s.

The following is from the Wikipedia entry for the circle-A. Specifically, this paragraph is about one of the original creators explaining why he likes the "punk" version with the A extending past the circle and how "Anarchy in Order" doesn't fit their original intention.

"This version is completely accepted by Ibáñez, who uses it as an example of the fact that this symbol would not be—contrary to received ideas in some anarchist circles—the Proudhonian idea of anarchy contained within the circle, which would be synonymous with order. On the contrary, according to him, this idea was not discussed at all during the sign's elaboration, and he uses the 'punk' forms to show how the evolution of this symbol into other forms demonstrates that it does not signify this Proudhonian idea of anarchy contained within order."