In this case, the government is who is giving out the loans, and it’s been that way since 2010.
Then they pay someone else to service the loan after origination.
Then they pay someone else to service the loan after origination.
The (edit: one) meaning of "loan servicing" used to be only (edit: not only) paying - not (edit: also) collecting payments.
https://ahdictionary.com/word/search.html?q=service
3. To make interest payments on (a debt).
IIUC, "service payment" comes from the fact that you are paying for a service - someone is providing you with debt as a service... The debt servicer.
I was aware of "servicing a loan" as "paying the interests". But I've found that the "administrative" meaning also goes back many decades.
Someone should open a ticket.