Automatically apply store/loyalty cards when using Curve card

For example, if I was to use my Curv card when paying for some groceries in a store, Curv would then automatically apply my store card which I use to gain points or whatever.

Many companies have tried such a thing and failed in the past. Whilst it would be useful, I can’t see Curve making it a priority in the short term. It would require significant amount of technical work on the part of both the retailer and the service provider.

MOD EDIT: have amended title to make it a statement rather than a question given this is in the ideas category.