Hello,
To answer briefly, unfortunately, there is no way to let the input device be the router's internal GPS receiver.
The way NTRIP client functionality in the router works is by simply forwarding RTC data received from an NTRIP Caster to the devices connected over serial line. In fact, router's GPS is not even needed for the NTRIP client to work.
Only GPGGA NMEA string can be obtained from the router's GPS, as, in most cases, it is mandatory in order to initiate communication with the server.
Best regards,