Say I enter into a contract with a hosting provider who only offers support between 6am and 10pm. There's an issue with one of my servers at 3am and I'm pretty

Say I enter into a contract with a hosting provider who only offers support between 6am and 10pm. There's an issue with one of my servers at 3am and I'm pretty sure it just needs a physical reboot. No chance they'll let me into their data centre to fix it myself. Even though in this specific scenario I might be able to solve the problem with no cost to them. I can also think of a lot of reasons why I wouldn't want just anyone to be able to restart my servers. Sure this sucks, but maybe I accepted the terms of the agreement because I figured there was a low chance of having the issue and I wanted to save a few bucks.