Isn't "looking after your hardware" exactly what they're responsible for? Why else are they being paid?
A drive failed in a RAID1 array so I contacted their support to get broken the drive replaced, they removed the working drive and destoryed it then insisted it wasn't their fault, I even gave them the serial number of the failed drive before they removed it. I do have my own offsite backups of everything, but it was still annoying to have to restore the entire server