Your typical broadband router is really a bunch of things in the same box - a modem, a router, and a network switch.
Some can be like that, but its more common to have the "modem" bit (i.e. Optical Network Terminal (ONT)) as a separate box, that presents its main interface on ethernet. That expects you establish a connection to the ISP using PPPoE (Point to Point Protocol over Ethernet)
Many (most probably) customer's will use the supplied router and find the user experience much the same as that on ADSL/FTTC etc (except faster and more reliable).
You may have difficulty getting that setup depending on how flexible the new router is when it comes to configuring how its WAN interface works.
The ethernet on the ONT is probably presenting a PPPOE connection. So the router that connects to it needs to be configured to feed you login credentials for the ISP to that to start the connection. Once that is done, you basically have what is in effect a very fast single "dial up" style connection to the internet.
To make that useful for a network you then need a router (with all the usual firewall, and NAT capabilities).
So if you want to slip another router in between the ONT and the supplied router, you will need to either configure it to fit the expectations of the other bits of kit, or alter the configuration of the other bits of kit to allow for it being there.
What facilities of the clearOS box do you actually need/use that are not provided by the supplied router?
Its not dissimilar from the way cable modem (DOCSIS) setups are usally configured.
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