Sarah Jessica Parker can dye her hair any color she wants, but she can't escape her naturally curly look.
It’s pretty obvious she used a big curling iron for this! So I wouldn’t say she has curly hair.
SJP does have naturally curly hair…look for photos of her from 28 years ago when she was on ‘Square Pegs’ and in her early movies. While the look in this picture *was* created using a big curling iron after a blowout (which is how most celebs get their so-called curly hair), she IS naturally curly.