[Hummingbird] Do I need Hummingbird if I'm behind a CDN like Cloudflare?

We’ve had hummingbird enabled since the beginning of our site, but recently we’ve gotten a bit more serious about our use of CDN. We’re using Cloudflare for Business which, if I’m reading everything correctly, seems to do everything that Hummingbird does. We’re caching “Everything” which means HTML too, and practically 100% of our site is being served from the cloudflare servers when that rule is enabled. We bypass cache on cookie, so logged in users.

Is there any benefit to running both of these? Is there any harm? My scores don’t change one way or the other on optimization sites like GTMetrix, so I’d rather remove an unnecessary plugin if it’s an opportunity to do so.