I've never seen remote power cyclers on big routers in major facilities which have on-site remote hands, even when servers all get both IPMI/LOM board cyclers and physical external cyclers. At most, the routers get a serial port connected to a serial port console server or directly to a modem, and/or an admin ethernet network.
I've seen smaller routers, CSU/DSU, etc. type devices in branch offices on cyclers, though.
I think it's mostly that the routers usually have both good OOB management and good watchdog (reboot on freeze) behavior, and that the PSUs in the bigger routers tend to exceed the per-port power limits of most of the external power cyclers.
It may be a good idea, though.