Well, it's mostly the boot order I'm concerned about. That is, if you're going to reboot your router, also reboot your ATA afterwards.
But sometimes turning them off is just the only way.
I definitely will be making as minimal changes as possible as I don't feel like going downstairs every time to unplug the devices one by one.
You should be able to reboot the ATA via webui.
Dial ***1. Enter that IP address into a web browser. Then click "Reboot" in the upper right when you want to reboot the ATA.
So, you'd want to reboot your router. Wait a bit for it to be fully up. Then reboot the ATA.
Note that the only foolproof method for me, sometimes, is to actually do this: turn off both the router and the ATA. And then turn on the router. Wait. Turn on the ATA.
But maybe rebooting the ATA via the webui will work for you. I don't have a R7000 to test.