It seems that you can actually opt-out. Here is the website for MasterCard opt out: https://www.mastercard.us/en-us/about-mastercard/what-we-do/...
You probably can find similar pages for other companies.
You probably can find similar pages for other companies.
To me it sounds like, "we are anonymizing your personal info, but you can opt-out and allow us to perform data analytics using your personal info as it is."