Warp is not designed to hide your address. If website is behind cloudflare, it'll know your IP address. If website is not behind cloudflare, your address will not be available.
https://blog.cloudflare.com/warp-for-desktop/
> WARP was built on the philosophy that even people who don’t know what “VPN” stands for should be able to still easily get the protection a VPN offers.
Is the page not clear about that?