Thanks. The short answer is no, it has no effect on Texas v. White. This is a treatise on parliamentary procedure for proceedings in the senate, not a law. The statement in your original post, inasmuch as it seems to say that a ruling on a legal issue in a single has no effect on other cases with the same legal issue, is completely at odds with the concepts of stare decisis and English common law tradition upon which the U.S. legal system is based.