Does anybody know how fast connecting to a WebSockets server is? How does it compare to connecting over http? I was interested in the ws:// uri scheme as I was

Does anybody know how fast connecting to a WebSockets server is? How does it compare to connecting over http? I was interested in the ws:// uri scheme as I was unaware of that. Is there a future scenario where we could connect to a WebSockets server directly through the browser without first connecting over http and then with js?