And I'm sure it's true, in a way. Only it doesn't say much actually, because there are many ways to measure "power". They don't even mention for how long that power boost lasts, is it continuous ? At peak ?
Let's say I use a crappy smartphone to use Shazam ; it sends a sound bite to be analyzed by a powerful server, and for the duration of that task it's like my phone is 100 times more powerful. So it's true that the "cloud" added a big boost of power to my phone. It doesn't really mean I have the equivalent of 100 phones in my pocket.
I don't exactly know what kind of benefit we'll get from the cloud in the end. I'm sure there is, because they're obviously working on it. I believe there's some truth to whatever they say, because they're smart enough to avoid blatant lies. But I also doubt things are as simple and perfect one would want to believe when hearing "40 times more powerful".