They "stand" as far as the courts are concerned, they do not stand as far as History is concerned. Plessy v Fergusson is an example of a decision in which the "court" eventually caught up to what was correct.
Those historic decisions on major constitutional issues that stand the test of time and are cited hundreds of times in subsequent decisions become known as “landmark” decisions.
Again, like Plessy v Fergusson. Made by the Same Court, and with an even stronger majority! History has written it's verdict on that court decision and I expect some day History will also render it's verdict on the reliance of the Wong Kim Ark Precedent. I expect that court to enjoy a perfect record regarding it's "landmark" decisions, but first the populace needs to be educated to the fact that the courts are Arrogant, Ignorant and Stupid.
If a particular decision is “wrong,” it will be reversed at a later date. None of us may live long enough to see the reversal but bad law is eventually overturned by a different court with a different ideological majority.
Which just goes to show that court decisions often enough have little to do with law in the first place! It is a pleasant illusion to believe that anything like accuracy or justice is the impetus behind the courts. Again, the courts are often worthy of Disrespect and Ridicule, and their opinions should hold no interest but in cases where their facts and reasoning are unassailable.
Plessy v Ferguson stood, until it didn’t. There are many conservatives today who believe Brown v. Board led to affirmative action, racial quotas and forced busing; infringements on individual civil rights.
Supreme Court decisions have everything to do with law. Different people can have very different opinions on legal issues.