How would you say that? I can't think of a clearer way to say it TBH.
Claude has a habit of always talking in an overly active voice, sort of personifying subjects that feels off. I don't think many people would choose to say "Traffic rides" here.
"Traffic routes via Cloudflare's network"?
It routes from closest PoP to visitor -> closest PoP to origin. Your way doesn't convey that as clearly IMHO.