luckily USA is still quite far from communism
Socialism
Rules TBD.
Conservative pundits performing outrage over communism don't care (or often even know) what communism is or isn't. It's almost entirely dog whistling. Crushing socialism is bipartisan. They're both bourgeois parties protecting private ownership of the means of production.
I don't have an answer to your question, but I wanted to share why I think it's hard to achieve the goal of getting reliable information about these topics.
We have this massive conservative influencer infrastructure (Fox News, etc) and they train their audiences, like parrots, to disregarded the meanings of words and associate a simple emotion with that word instead. No nuance. No curiosity. No questions.
Examples of words they've done this with: Communism, socialism, woke, the term "a woman".
Next, train your audience to be angry at curiosity and questioning. That's not that hard, the church does that from a young age in religious regions, so the religious are perfectly primed to accept "intellectual drivel" without question and be completely unaware they are being used as "useful idiots" by a machine that wants to consume them.
So with that context in mind, I feel like you'd either need to design an experiment that included an educational portion.. or find a way to disguise your questions to avoid the pre-programmed terms.