Chief, I'm not a lawyer, but there is in jurisprudence the concept of "stare decisis", which means that absent a timely appeal, the decision of a court is final, on that case. The principle can be addressed on a similar new case. Op cit Roe v. Wade; only a like case brought before the Supreme court could be used to reverse it. Of course, the court is not required to accept an appeal. Or they could accept an appeal if the government did something wrong
Congress has long let the courts have too much power. The Constitution, at Article III, Section 2, paragraph 2, grants this responsibility to Congress. It reads, in part: "...the Supreme Court shall have appellate jurisdiction, both as to Law and Fact, with such Exceptions as the Congress shall make."
Chances are Texas v. White will remain stare decisis. Stan