I'm not worried about a company knowing I am their customer, with some name and credit card number.
I'm worried about them participating in the global privacy free for all where they sell my info everywhere and abusively correlate it with the info others have to learn things about me.
Search terms are a particularly rich source of this sort of thing.
I don't think "privacy" is much about keeping all info away from people, I think it's about the correlation. Keeping info away is a natural and sensible precaution in an environment of rampant correlation, but if that didn't exist I wouldn't need to resort to complete information starvation.
The credit card company is the one selling your relationships and purchase habits and they know exactly who you are and can connect you to everything else important in your life.
I'm worried about them participating in the global privacy free for all where they sell my info everywhere and abusively correlate it with the info others have to learn things about me.
Search terms are a particularly rich source of this sort of thing.
I don't think "privacy" is much about keeping all info away from people, I think it's about the correlation. Keeping info away is a natural and sensible precaution in an environment of rampant correlation, but if that didn't exist I wouldn't need to resort to complete information starvation.
YMMV.