Well, some people do say to blindly "Inflate to the tire sidewall maximum", but thankfully it's getting rarer as knowledge is diffused. That maximum pressure is very rarely going to get you the optimum ride, traction and tread life, usually it will make things much worse.
If the car still has the exact OEM size and type tires on it, then the car maker recommendations on the door sticker are still valid. But people often switch to different size, speed rating or load rating tires and sometimes rim size is also changed, and then you need to (metaphorically) throw the car sticker out the window and go with the tire maker's Load & Pressure Chart as the primary reference.
The one thing that is important about the manufacturer label is any front/rear pressure biases, usually related to weight distribution in the vehicle - the tires at the heavier end of the car are usually kept higher. If you are figuring pressure for new tires place the same ratio of bias between the axles, even if the overall pressures are higher or lower because of the different tire type.
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