Warp doesn't provide anonymity, however, for some reason Netflix in my phone can stream US TV shows with Warp on while my non warped devices can not even list the show. Weird.
Because Netflix is not a Cloudflare client, so CF can't pass the source (client) IP. The same should happen with Google, Facebook (or anyone not behind CF infrastructure).
At least, that's the way I'm currently understanding it.
It seems to not be hiding IP, but it does inadvertently(?) do so for some site's detection methods I think. When I did an IP lookup, some sites reported correct while others reported one I didn't recognize (assumed its the one from WARP).