If we eventually define "civil rights" to mean "you have the right to stay inside your home and order everything on Amazon", we have a serious problem. That's where this is going. It goes way beyond the decisions of an individual company.
Regarding the status quo: Yes, mandates exist. The school example is a piece of paper you turn into the school office during enrollment and no one ever thinks about it again. It's not a status tracked in real time, apps don't have to be presented to enter buildings. And in most cases, people can file for exemptions if it really matters to them.