Those words can mean those things, but communism is also used to describe a political system. After all, part of the definition of communism is statelessness which is entirely about the politics and not the economics (source).

Also, just as democracy might be used to describe a political system, it commonly taken to mean liberal democracy, and thus in most contemporary contexts implies an economic system of capitalism.

So I just think it depends on the context what people mean by these terms. Of course you can try to define communism only in economic terms, but since the term is so abused and “inflated” it’s hard to claim it has any singular or absolute meaning.

Depending on who you are talking to, communism has practically opposite meanings, for example, in public schools in the U.S. they teach that communism is when all economic activity is controlled by a centralized state, which is ironically the exact opposite of how Marx defined communism.

The same can be said of democracy.

I replied to a similar comment in here. From the context of images, you can understand that the comparison is between Marxism-Leninism and representative democratic constitutional republic. These systems represent the majority of real world implementations of communism and democracy.

The majority of people in this comment section understand this words in the way they like and argue against something that in my opinion has very little in common with the actual meme’s point (that sounds funny, “meme’s point” 😅).