My experience is that focusing on convincing anarchists of anything is a waste of time. Anarchists are difficult to convince because they've already formed strongly held beliefs, and they're typically actively antagonistic towards communists. Meanwhile, both anarchists and communists combined represent a tiny fraction of the population.
The real focus should be on convincing people in the mainstream who are becoming disillusioned with the capitalist system, but haven't yet formed strong political opinions. These people are much easier to convince and there are a lot more of them. This is the demographic that the messaging needs to be tailored to.
What Gramsci argues might not be terribly helpful for convincing anarchists, but it is a useful argument to explain why communist approach is the one that can achieve tangible results to people who haven't yet formed strong opinions of their own.