I think this is somewhat overblown. Aside from the regrettable instance of the Spanish Civil War Communists have generally supported Anarchist revolts, even if they've had (usually proto) states, as long as it isn't happening to them.
Lenin thought the Anarchists were not ready and supported the revolt anyway. Mao, in what should be famous but isn't, was a strong supporter of the ill-fated KPAM, the largest and longest lasting Anarchist experiment ever, and supplied it as much as possible. Refugees from its destruction fled to the CPC and had their hands in developing large sections of Maoist doctrine. The Great Leap Forward, in particular, tried to incorporate many anarchist ideas.