Slipping rather too comfortably into pedantic mode......
It irritates me that "modem" is still used at all, standing as it does for MOdulator/DEModulator, and is only applicable to Analogue lines. ie How you used to connect to networks/BBs in the 70's via dial-up telephone lines.
Once the move to Digital took place, MODEM was redundant, as the signal is already digital.
In my view, "Router" is what "Modem" once was, whilst "Switch" (or at a stretch, "Hub") is what is now commonly referred to as "Router"