Since SiteMatrix is currently missing the data from the site_identifiers table that it is currently getting from DBSiteStore. We would need to think of a way to infer/refer the columns in site_identifiers from other sources so that SiteMatrix could have the data that we need for the Site object.
We are thinking of doing it algorithmically for now, as they resemble some kind of pattern, and fall back to config if necessary.
However, more research into this is necessary.