0-RTT sounds nice, until you get to appendix E.5. Everyone should read this: E.5. Replay Attacks on 0-RTT Replayable 0-RTT data presents a number of security threats to TLS- using applications, unless those applications are specifically engineered to be safe under replay (minimally, this means idempotent, but in many cases may also require other stronger conditions, such as constant-time response). Potential attacks…
There is an Internet Draft for that [1]. It is co-authored by Willy Tarreau of haproxy and implemented within haproxy 1.8 [2].
[1] https://tools.ietf.org/id/draft-thomson-http-replay-01.html
[2] https://www.mail-archive.com/haproxy@formilux.org/msg28004.h... (Ctrl+F 'Early-Data') https://www.mail-archive.com/haproxy@formilux.org/msg27653.h... (Ctrl+F '0-RTT')