A description of what you are supposed to be able to opt-out from on Visa cards is here:
"In some countries, Visa enhances card transaction data and uses it to generate anonymised and aggregated consumer spending and marketing reports and other data products that enable companies to improve their marketing efforts. These solutions help companies identify consumers that they can target."
"In some countries, Visa enhances card transaction data and uses it to generate anonymised and aggregated consumer spending and marketing reports and other data products that enable companies to improve their marketing efforts. These solutions help companies identify consumers that they can target."
https://www.visa.co.uk/legal/privacy-policy-opt-out.html