If it’s got erhernet port(s) it’s a router.
I've got an Openreach ECI modem which has an Ethernet port. Is that a router? 
Anyways, need has passed so I didn't do proper research. That one may or may not have worked for me whatever it is.
Touché. To be explicitly clear in reference to your question, 😉
mobile network NTE consumer gear that connects via USB would be considered a modem. Every other type that has Ethernet port is really a router.
Edit: a “modem” equivalent with an Ethernet port is to search for LTE routers that support pass-through / bridge mode of operation…some the Huawei, Netgear, Zyxel, Teltonika or even MikroTik LTE boxes will do this. Some IOT specific devices support bridge mode operation.
Edited by Pheasant (Wed 02-Mar-22 10:45:42)