This means that any mortgage transfer would come with a 'sweetener deal'. If you don't object to the transfer you get a small reduction in your monthlies, e.g.
What I mean is parent companies and contracts that might obfuscate who's owed the debt.
However, I don't know anything about debt markets let alone homeownership.
Some originators will hold on to servicing of your debt wherever it goes (within certain boundaries, e.x. if you go into a delinquency or reconciled delinquency state).
Those originators use it as a selling point, because many people have gotten bit by servicer flips one way or another.