"Private Relay uses both the CONNECT and CONNECT-UDP methods in HTTP/3 to set up connections quickly. For connections to websites that support TLS or QUIC, the initial TLS handshake messages are sent in the same set of data as the proxy request"

Would this not hinder the proposed mechanism discussed in the article?

Edit: forgive me, for my knowledge of networking is limited and I'd like to learn more if I am incorrect.