I bet there'll be a few different ways to 'prove' yourself to public places, and people who decide to tell them to 'go fuck off' - well they'll become social pariahs.
After all - the first amendment allows for the freedom of assembly, and the freedom of assembling with whom they wish. Property rights also and all of that.
Is it a matter of losing freedom for safety? Yeah. There's been a lot of 'reasonable' losses of freedom in various things. For example, isn't it a loss of freedom to require a drivers license and insurance (or proof of financial responsibility for California)? Or security at airports? And so on. This may become yet another loss of freedom, maybe temporary maybe not.
I’m sorry, I might be misunderstanding how loyalty cards work... do they detect each other and report back to home with what other cards they have been in proximity to?
They're a scenario where people have willingly given away privacy to corporations in exchange for pretty minor benefits (largely, discounts that just bring the prices back to where they'd have originally been).
The cards themselves detect each other without me knowing it?
Checking into to JimmyJohns with a loyalty card is not the same as the guy I passed on the street's phone checking my phone and both letting JimmyJohns HQ that we passed each other at 12:53 on at 643 West Main St.