Didn't know about the Prosody module. However, MQTT in ejabberd is at the core level, not module, so it is able to access all the performance and scalability features used by XMPP - and in that sense, ejabberd MQTT is production-ready.
I think the surprising behaviours of MQTT are its strength - it's minimal and perfect for low-energy devices. For heavy lifting, there's XMPP.