I'm not sure how "(a) work independently" fits. In fact it seems the opposite. The whole point is about working with and influencing others. That's not "working independently"
"Working independently" is not the same as "working in isolation". Not sure that this is also what the GP meant, but "work independently" usually means that you understand what the business needs and can initiate new tasks on your own, without waiting for someone to tell you what to do.
