Yeah, you're way off on that. The swoosh is Nike. When people were mugging each other for Air Jordans, think back: each commercial ended with a silhouette of Jordan about to dunk, and below him, the Nike Swoosh.

Show anyone the swoosh and they either associate it with "Just Do It" (again, Nike's trademark) or Nike itself.

You might as well claim that Apple's startup chime is just another beep.