I fully agree with your proposal, but I want to highlight that the last sentence is in fact wrong (unfortunately, IMHO). I suspect that physical stores usually

I fully agree with your proposal, but I want to highlight that the last sentence is in fact wrong (unfortunately, IMHO). I suspect that physical stores usually charge the same price to every customer only for practical reasons, namely because they have to display a price. They use as many ways as possible however to override it and apply personalized prices: fidelity cards, coupons, happy hours, student and veteran discounts, partnerships with credit cards or airlines, private sales and so on.