Powercycling is a designed method to bailout Cisco routers. If you botch a configuration command and lose connection, you can have someone powercycle it to restore you last good configuration. Its not just a joke it really works more often than I'd like to admit.

~25 years ago I was a firewall administrator, and the Cisco PIX we used was notorious for gradually running out of memory, effectively cutting off the entire company from the Internet when it went down (and it was a very big company).

We absolutely should have scheduled reboots during off hours. Lessons learned.