Yep. Even if I bothered to find a replacement for my combination cable modem/router, I don't know if the ISP / cable company would "talk" to the new hardware. Probably not contractually required to do so.
I'm reminded of the liberation of phone handsets from the phone company - up until the 1980s, most everywhere, it used to be that one could only connect to the network a phone leased from the carrier.
The issue of who controls (has root) on all the computers we supposedly own, starting with internet access routers and going on to printers, smart-phones, e-book readers, game consoles, disc players and TVs, is a vexing one.