Listen, I didn't make the title up, I just grabbed onto it from the SRE world because I love databases.

There are some pragmatic differences I've found, though - generally, DBAs are less focused on things like IaC (though I know at least one who does), SLIs/SLOs, CI/CD, and the other things often associated with SRE. So DBRE is SRE + DBA, or a DB-focused SRE, if you'd rather.