[Management] Saved objects to React/EUI direct .kibana index access

[kobelb]

The Reactification of the saved object management screens done by #17426 is accessing the .kibana index directly using callWithRequest/callWithCluster. Ignoring the issues this causes by breaking the encapsulation that the SavedObjectsClient provides, these access approach will no longer work once RBAC Phase 1 is complete as the authenticated end-users won't have access to the .kibana index and these calls will fail with a 403.