In a communist society there is no profit (or incentive for), thus no need for copyright laws.
It's not abolishing copyrights that would turn the US into a commie country, communism is about abolishing private ownership to the means of production.
Well it's worth reading the linked wiki article section, which includes a link to another article "Copyright law of the Soviet Union", flatly contradicting you unless you maintain that the USSR wasn't truly communist.
In the United State, the individual or corporation owns the invention. In the Soviet Union the state automatically owned the invention. That clause is what ensures private ownership.
The clause is what ensures profits from market sales or licensing of ideas go to the creator.
Removing (or ignoring in the case of AI companies) that clause in the US Constitution is what abolishes private ownership.