Humans don't run split tests on alternate realities but they can learn from wikipedia alone - I think we just don't know quite how yet.
We need a lot of data currently because algorithms don't generalize like people do.
I'm not convinced you need to be a tech giant to be able to make that breakthrough - I think it's a problem of approach, not a lack of data.
People ingest a lot of data. Especially when they are young. They touch everything, look at everything in funny ways, chew on things, and so on. Try to interact with everything to gain data.
It's just not textual.
You are stuck with 25TBs of wikipedia for the rest of forever. And "academic datasets".
Because the important data is probably not inferable from web links or otherwise semi-passive Internet structures.
That said, I think the missing component is still a good mind theory.