Public healthcare means health care paid for via public funds, nothing more. Many public health care systems aren't entirely centralized, even though they use

Public healthcare means health care paid for via public funds, nothing more. Many public health care systems aren't entirely centralized, even though they use public funds. For example even the UK's NHS has regions with allocated budgets they manage based on the number of patients they see, which they then spend as they see fit. You're trying to attach your biases and assumptions onto an amorphous phrase, and then pretend others are using it wrong because they don't have the same expectations. That isn't reasonable.