I don't think they want to for that reason; the reason they can gain access to such data is that if it's entirely in the user's hands (and passwords) then there's no way to recover the data for the user if they forget the password.

As for the grandparent comment: I trust Apple with my data more than Google because Apple doesn't want to use it, has no financial incentive to do so, and has no track record of subverting my privacy unlike Google (https://www.ftc.gov/news-events/press-releases/2012/08/googl...).