[Core] Check out and remove default impls that depend on a certain `client` or `application`

[Farhad-Shabani]

Summary

Check out all the default implementations and move away those make core module dependent on a specific client or application

Details

Like here for ClientId

[Farhad-Shabani]

Other places of implementing a default value that is not necessarily applicable to all clients:

• TrustThreshold
• ProofSpecs