Our current solution for password authentication is perfectly fine, unless you distrust your CA's.

SRP itself is a bit of a mess, and has gone through a lot of iterations to fix its faults. OPAQUE is probably your best bet. But implementing the protocol seems like overkill for password auth, and is easy to implement improperly.

Such PAKE's will likely prove to have other good use-cases, however, like magic-wormhole.