I agree with this, and it's why movements like OWS and BLM have more or less done nothing. Those are complex concepts with lists of things that need to be done. The right has "Lower taxes" and "Let us be racist". The left though has nuanced concepts and new things that people have never heard of. People hear "Lower taxes" and know what that means. Universal healthcare is new and complex, and so the right reduces it to something they understand, "higher taxes" and other fearmongering. Meanwhile we're trying to show amortization rates of providing care to everyone and the right has simple phrases.
Rinse and repeat for everything. We tried "Defund police" but the right only heard "No more police" because there is a lot of nuance to "defund police", like demilitarizing and focusing on sending in people who can actually help. "Climate change" is a complex nuanced subject that takes a long time to understand, but the right reduces it to "They want to take away your truck".
Gay marriage I think worked because it was a very simple message, allow gays to marry. They tried to reduce it however they could but in that case their arguments were the harder ones to follow. I think we need to think about how we describe things, and try to avoid from the beginning needing to explain concept subjects to (I'm sorry but) simple people. Universal healthcare should simply mean "We run a government level insurance program, like all of the other countries, so no one gets denied coverage". Or something like that.