I know several people like this

I literally knew a girl who said this. She truly had no idea that they were the same thing, but rattled on about wanting it gone while benefiting from it.

I also knew an older woman who hated Obama and said "he's arrogant for naming that after himself." She didn't believe me that her favorite channel was the one who named it after him unofficially and that its official name was ACA.

They truly just repeat bullshit until it sticks, and it usually works on the people who don't bother to diversify their information sources. It's so goddamn frustrating.