For as much as you may criticize Apple for many things, you can't really say they are not sincere when they say something like this.
A company has to make profits, and profits come from a well executed business plan. Apple's business plan is to sell hardware and create software and platforms that drive hardware sales. Collecting data for reasons that are not related to the functioning of a service makes no sense for the bottom line.
Google makes profit selling ads crafted on people's data and a new controlled user accessing the Internet is entering its realm. That is good for the bottom line.
It may be an oversimplification, but I guess that you can say a lot and get back to this.
Anything that has to do with NSA mass surveillance, though, shouldn't be transposed on this discourse. Not Tim Cook, nor Larry Page, nor any other CEO, individually and in their function, can possibly know everything about their company.
Fifth columns, NSA rats, unconstitutional secret requests of information... They are American citizens, running American organizations they have to comply to the rules or they may compromise billions of shareholders dollars. But are they lying to us right now? I think they are not, because it will hurt their bottom lines more than ever. Is Google in a weaker position than Apple because of the very nature of its business model based on data collection? Absolutely yes.
The problem is ingrained with the system though and the only solution is to extirpate the cancer called NSA. I doubt it will happen anytime soon, though. We all love our gadgets and services too much, and we don't really have time to wrap our brain around such big problems for nerds.