We created a unified cloud storage API at https://kloudless.com to help solve this integration problem.
To really be like email we'd be talking about a common protocol that all the service providers implement so software can speak to all providers directly in the same way without a middleman. (A better WebDAV with industry support?)
Having a single API reduces this inevitable maintenance overhead and swaps out some set of N integrations in favor of one other. There is the added benefit of having a resource (Kloudless, in this case) assist with enabling whichever use case the business is trying to solve for their users by providing the integrations.