That might be Econ 101 with fully continuous utility curves, and realized price equilbria, but anyone who has traded on a market knows that as soon as most bids are fulfilled it causes a dislocation of the price, so in reality the opposite is true: all individual choices affect prices in the market.
There is an old concept that rolls through bernanke, krugman, keynes, marx, smith, and aristotle (you're in very smart company if you make this mistake), that somehow prices represent an equivalence class of values. That's a very mistaken view of the world and also, in a perverse way, considering the progressive bona fides of some of those smart people, reflects an illiberal fetishization of the power of money and numericism.