I don’t think it’s brushed (or sanded). Part of the anodizing process is an etch bath. If you leave it in the etching solution long enough, it will take off light machining marks. Sanding, or even media blasting, would knock off the very sharp edge that runs around the lip. I think these parts come straight off the machine into the anodizing process.
All the Apple stuff I have appears to have pretty standard Type II anodizing. The newer iPod Nanos appear to also have a bright dip step, which is what gives them that glossy look.