Apple backed themselves into a corner by marketing themselves as the super-privacy company in contrast to Google. The problem is that all the data collection lets you do some really useful stuff that benefits the user. So now they're spreading FUD while trying to pretend that they're not collecting the same type of data that Google does. Google has been using differential privacy for a while in different projects.
How do you explain their insistence, then, on doing object recognition in photos on-device? Is it possible that they have understood the affordances of various data collection and obfuscation techniques and will apply the appropriate ones after taking into account their desire to protect privacy? Google indeed has RAPPOR (and other projects, I'm sure), but the cultural difference Apple claims is "we consider privacy…
I'm pretty sure that should be interpreted as "we've determined privacy is a differentiator in the market, so as of some indeterminate time in the past, ranging from a few years ago to our inception, we consider privacy in everything we do."
Now, there's nothing wrong with that, and that's not to say they haven't been privacy conscious in the past, but let's not confuse the current stance as entirely altruistic, when there are are multiple incentives at play, one of which is concern for the user.
Edit: s/months/years/, that's much more accurate.