"hosting critical sensitive operations" in particular. If you are doing "critical sensitive operations" you need a more secure solution and process which will cost you more money.
Under no circumstances can a hosting provider assume the liability for something like this.
The tradeoff you make for the low cost you pay is that you might have an issue like this because someone screws up.
You pay more for a safe to store your money (and for a safe deposit box to store your valuables) because it's important and you understand the risk involved in not doing that. If you have valuable jewelry many times the insurance company will only insure if you keep it in the safe when you are not wearing it and even the amount of days is specified when it can be out of the safe.
It's unreasonable to expect (and linode's contract clearly states as other's have mentioned) a hosting provider to have a liability over what you are paying them. Edit Add: Unless you specifically have an agreement in advance or that is what they promised or charged you for.
Before anyone reacts to this with any harsh criticism please think for a second what liability you would want for any mistakes that you make with your web startup or idea. You could either be charging zero or charging a small $5 to $20 per month charge. You might make a mistake. Are you willing to accept and even be able to insure for thousands or even millions in liability for those mistakes?