The evolution of the Matrix protocol is governed by the Matrix.org Foundation (https://matrix.org/foundation/).

XSF contributed the XMPP spec to the IETF after ~10 years, Matrix is a younger protocol (2014) and perhaps it will do something similar in the future.

Given the adoption rates of Matrix, I think it is fair to conclude it is a good fit for chat. Though it is fair to call out that it works quite differently under the hood from many other chat protocols. The decentralised architecture adds a resilience not possible in a purely federated system.