Your cellphone is doing far, far more to profile you than any $5 spend at a local coffee shop would.
All a CC company would know is you like expensive lattes; your cellphone would know how long you stayed there, where you say in the joint, and how many memes you looked at before you left. And might overhear everything you say, including your order.
If you're using any sort of digital payment or points app on your phone it'll probably know your order, too.
Listen, most places should take cash, but this is silly.