There are machine learning techniques that generalise well from few data, but they are not very well known in the industry.
Also, though more speculatively, I think the idea of "lots of data" is attractive to marketing departments. There's something about algorithms that need huge amounts of data and compute, that only a select few companies can use. I guess it gives bragging rights, of a sort: "we got the biggest data around. Buy our stuff!".
But like I say, that's speculation on my part.