bblocks should not have status in names e.g. "unstable" - that alone makes them unusable.
The tooling now supports reference resolution according to a configurable sub-register import list, meaning they can move from register to register according to status.
NB. OAS 3.0 down-compiled schemas will need to be republished as they are limited to absolute URIs but 3.1 with relative links can be re-used directly from a new location. (Further engineering testing in testbeds is recommended)