Maybe! Anything is possible.
On the other hand, what you term "common mischaracterizations" are what other people view as the reasons they may not like something.
Put another way, this is the same as any debate about preferences (from something as simple as "steak v. sushi" to as complicated as "my political party" v. "your political party"). It's not that there is a lack of understanding that's the problem; it's that people have expressed a preference for something, and then they chose to characterize the other side in a way that the other side views as a "common mischaracterization."
"Why are you eating that. It's just some raw fish and seaweed, man."
"That's a common mischaracterization. It's really...."
"Yeah, it's gross. Ima go to Texas Roadhouse.
People like what they like. Maybe they might change their preferences over time, maybe they will like both steak and sushi.
Instead of telling them that they're wrong, and they need to like other stuff and understand you better, take 'em to a sushi restaurant.