There are differing opinions over this one.
If you power off the router it makes absolutely no difference as the FTTC CAB knows nothing about this device.
The CAB does know about the modem but powering off for several days and then powering it back on will be fine. Other posters will almost certainly say "you should never, ever, world without end, switch it off" but in practice it makes no difference it you do a clean power off and power on several days later.
With the modem powered off you can unplug anything you like.
In practice if there is a lightning strike it will take out more than your VDSL modem whether it is connected or not!
Do you have a high incidence of lighting strikes in you area - long run of telephone lines on poles?
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