When you say "hypermedia", what exactly are you referring to? Let me take some stabs in the dark here...
Finding or building an API client that uses the HATEOAS principle (start with the homepage, media types are known ahead of time, and it browses the API's link structure until it finds what it wants) is a fool's errand. Maybe things have changed in the last 6 months since I last spent time digging, but this has always been a sticking point within the REST community since a proper HATEOAS client is vastly more complicated to write than one which hard-codes more details such as URL paths.
But the huge advantage I see to building an API that supports it anyway is that the API becomes more or less self-documenting. The developer *is* your HATEOAS client, ha ha. If your API only theoretically needs its clients to know your base URL and the media types you offer, and you provide all the links and forms right there inline with your data, then the developer who is building code on top of your API receives a tremendous benefit. It minimizes how much you have to document things, and it speeds up their ability to integrate with your API. This directly translates to your company's bottom line, since it promotes adoption of your API and minimizes your support costs.
If the people you are trying to sell the idea to are nontechnical, it might not be helpful to try to also sell the idea of Mason or some other format to them at the same time. Just emphasize the financial benefits of having a self-documenting API, lowering the barriers to adoption, etc. Leave the technical discussion of "hypermedia" and the question of the format for another day.