"My goal with the Wolfram Language in general—and Wolfram Programming Cloud in particular—is to redefine the process of programming"
That's a goal, not a claim about the product. And one that many people in the industry share, and routinely espouse.
As a Wolfram Research employee I suppose you are in a privileged position regarding what Wolfram meant, but that's what I'm reading from what he said.
Oh, and I'm not outright stating the language does not redefine the process of programming - depending on your definition of "redefine", and whether the language lives up to the hype (I have barely tried Mathematica and certainly it looks very powerful in some areas). Nor is wanting to do so unique to Wolfram - things like Bret Victor's "The Future of Programming" attempt to take up the same kind of mantle. I am merely criticizing the idea that Wolfram didn't say it does.
"So what does it all mean? I think it's pretty important, because it really changes the whole process --and economics-- of programming. I've even seen it quite dramatically within our own company. As the Wolfram Language and the Wolfram Programming Cloud have been coming together, there've been more and more places where we've been able to use them internally. And each time, it's been amazing to see programming tasks that used to take weeks or months suddenly get done in days or less."
How is that not a very concrete claim about the product?
[1] http://blog.wolframalpha.com/2014/06/23/wolfram-programming-...