To some degree, sure. I wouldn't expect too much, because Apple is a niche. They have less than 30% of the global mobile market (tablet and phones) and less than 10% of the desktop/laptop market.I only hope this generalizes to the general public at least to some degree
Within these we have to look at how many people are affected. This whole thing is a "go" in the US only so far, so that's where people will react first. I'd expect people in other countries to much more critical about it, as they're used to much tighter privacy laws. In fact, most companies in Europe will not host any type of data in the US, but only in the EU and often within the same country. The larger outcry will probably come when Apple decides to use this in other countries and that's when it get's interesting.