I've spent 3 years dealing with AWS so I would be asking whether the tasks that go away due to the move to a cloud provider allow you to pursue activities that are more beneficial to your organisation.
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If a company starts shifting to the cloud there comes a tipping point beyond which the cost of paying for their own data centre just doesn't make sense. You end up with a few systems having to bear the brunt of the costs of that on-premise data centre, at which point on-premise no-longer makes financial sense.
We're already slightly in the cloud at Rackspace. We started moving many things off-premise to ease the burden on IT. We don't really have less IT, but they can do more because they don't play hardware games. Been a positive move.