Actually, in a way this is already true. If you consent to installing their mobile app (which includes god knows what kind of analytics), you are rewarded with at least 20% off all McDonald’s food list prices.
So you can pay for “McDonald’s without analytics” by paying list prices in cash at the register.
Now, if there was an option when booking a flight to pick a fare class not subjected to the stupid branded credit card offer walk of shame prior to landing, I would sign up in a heartbeat.