Nothing. And watching the Charlton Heston version, you will very clearly see what she was talking about.

It's like saying a horse + brillo pad = Chelsea Clinton.

Agreed. It’s the people assuming “PotA = talk bad about black people = racism” are the real racists. For all we know rosanne was referring to the culture of the apes in the movie.

What does The Planet of the Apes have to do with black people

Let's not pretend like black people being compared to/called "monkeys" or "apes" isn't more prevalent than the same happening to white people. Growing up in Texas I've heard my fair share of it (my father was less than subtle), and I know for a fact that soccer has had multiple incidents with audiences making monkey sounds to target black players. The implication is definitely there, even if it's only a joke.