As an Asian, I have straight hair, like the first picture. Only with undefined waves from my jawline downwards.
I have a round face, so hair that straight is not good for me. I permed it to make it look like the Olsen girl pic. I've always gotten very flattering compliments when I perm my hair. Girls are jealous, and guys find it nice. The waves gives more dimension and movements to my hair. Not to mention volume and shape.
I have a weird texture of hair. It's thick and really curly and a pain in my butt but I love it. If I had to change anything, I probably make the curl pattern a little more naturally loose because it'd be easier to deal with.
They have different hair type systems I'm sort of 4a/3b/something else. I have different textures and sometimes I love it sometimes I don't but that's only because its shorter in the back then it is at the top and the middle. My hair is very versatile.