Yes, but that is your implementation of the freemium model. There are other sites, including my example, that allow free access to their data on the site, but then sell the data (in one form or another). You use embedded stats, iBegin uses datasets, other companies might charge for their API.
You are highlighting how my example is different from the others :-)
I'm actually highlighting how your business model is just a single execution of a broader method of conducting business. However, in the sense that your end product differs from the other examples, yes. If you really want it that bad.
Why do you think an API can't expose exactly the kind of data and content found on a site?