Outsourcing data centres is just like PFI - it takes the cost out of the capital budget and removes the provision for ongoing maintenance.
All you have is payment from the current account for the service.
It may turn out to cost you more, it may turn out to be less secure efficient and reliable, but meanwhile you have maximised value, sold off a capital asset, reduced headcount and returned cash to the shareholders.
Future problems? Blame goes straight outside the company to the service provider.