There is work being done to support selective disclosure and un-linkable presentations using a container format that closely follows the JOSE primitives.
The initial proposal is called JSON Web Proof (JWP) and is planned to be initially incubated in the new DIF Applied Cryptography Working Group as an Internet Draft, and from there taken to the IETF for standardization discussions.
Once standardized, JWPs are intended to be usable in OpenID Connect protocol flows nearly identically to JWTs while also supporting SIOP privacy use-case requirements by enabling selective disclosure and the use of zero-knowledge proofs instead of traditional correlatable signatures.
I agree with this plan.