The mind behind Noise (Trevor Perrin) is one of the minds behind Axolotl (actually Noise can be seen as a generalization of the Axolotl's cross-signing of DH keys, see this post: https://whispersystems.org/blog/simplifying-otr-deniability/) so I would likely be comfortable with it. Although it is completely true that it's been far less used and studied than TLS.

The OP's point is that it is like TLS, except with a novelty effect. Personally, I prefer that everyone standardize than use a hundred different crypto protocols, none of which receives adequate scrutiny. TLS1.3, with encrypt-then-MAC and zero-RTT setup, can't get here fast enough.