MetropleX Sure, but Curve gets a record of (https://www.curve.com/legal/privacy/)
Full name
Date of birth
Gender
Identification documents (for example your passport) and any other information you provide to prove you are eligible to use our services)
Your image and facial scan data as extracted from your image (known as ‘biometric data’) for Know-Your-Customer checks
Employment status and industry
Information about your transactions
Information about rewards
Information about your purchases
And they look for data about you via
Analytics providers
Payment service providers and third party digital wallet providers
Customer service providers
Electoral register
Governmental agencies
Financial crime prevention agencies
Credit reference agencies
Regulatory bodies
Social media websites or apps
Intermediaries
and do marketing to you
Purpose: Suggest goods, services, programmes or activities that may be of interest to you
Data: Identity, Contact, Device, Profile, Financial, Transaction, Survey Responses
Lawful basis: Consent, Legitimate interests (to develop our product offering and grow our business)
Purpose: Send you marketing communications and ask your opinion about our services
Data: Identity, Contact, Profile, Device, Transaction
Lawful basis: Consent, Legitimate interests (to ensure you are kept up to date with our services)
and send data to partners
Social media sites and advertising companies.
Social media sites, for the purposes of conducting market research and running marketing campaigns. When sharing data with these sites, we ensure that your data is only used in accordance with our instructions.
We may share your data with our advertising partners but this will be done, as far as possible, in an aggregated or anonymised way. The advertising partner, or any social media sites used for marketing purposes, will only be allowed to use the data to (i) send adverts to you if we think you may be interested in a Curve service, (ii) not send adverts to you if you already use the service, or (iii) send adverts to people who have a similar profile with you.
If you don’t want us to use your information in this way, you can contact us at privacyrequests@imaginecurve.com.
It's hard to argue that users have "some privacy" from Curve with it as OP asked, unless I misunderstood and OP meant privacy from merchants.