ENISA in Europe has the mandate of building a EU vulnerability database for the NIS 2 directive anyway and it's coming soon...
And CIRCL in Luxembourg are providing vulnerability-lookup which can also assign IDs but in a more decentralized way: https://www.vulnerability-lookup.org/documentation/
VulnerableCode can help with discovery etc. https://vulnerablecode.readthedocs.io/en/latest/introduction...
So, parts of this are already in place and I assume this will be a big boost towards a new vulnerability ecosystem.