Final answer:
The statement is false; Supreme Court decisions on constitutional matters are binding on all other courts. This principle is called stare decisis and ensures uniformity in the interpretation of the law, although interpretations may evolve over time.
Step-by-step explanation:
The statement that a decision by the U.S. Supreme Court on a constitutional issue is not necessarily binding on other courts dealing with the same issue is false. The Supreme Court is the highest court in the United States, and its decisions on constitutional matters serve as precedent for all other courts in the nation. This principle is known as stare decisis, which means to stand by things decided. While lower courts are bound to follow the interpretations of the Constitution by the Supreme Court, it's important to note that judicial interpretations can change as new justices join the Supreme Court and when society evolves.
Another important aspect in the American judicial system is judicial review, where the courts have the power to evaluate the constitutionality of legislation. The precedent set by a Supreme Court decision is followed by all other courts in the nation, which may only vary if and when the Supreme Court itself overrules a past decision or when constitutional amendments change the legal landscape.