I question how many people are vaccinated but actually unwilling to refuse to patronize an establishment if they require showing vaccine cards.

So just assume that nearly everyone who is vaccinated patronized businesses as normal. Based on how relatively quickly even the most liberal places like New York were to drop vaccine mandates, that shows that the percentage figures they quote are bald faced lies. If the entire country were 80% jabbed, then you can bet liberal New York is more like 90% jabbed. With those numbers, they could maintain the mandates forever, and you know they want to. Clearly those numbers are lies.