While not in the majority of decisions these days, plenty consequential ones (as all SCOTUS decisions are) are still being decided on a 1 vote margin.
The corruption is deep and wide... Justice Samuel Alito took luxury fishing vacation with GOP billionaire who later had cases before the court “We Take Good Care of Him Because He Makes All the Rules” In early July 2008, Samuel Alito stood on a riverbank in a remote corner of Alaska. The Supreme Court justice was on vacation at a luxury fishing lodge that charged more than $1,000 a day, and after catching a king salmon nearly the size of his leg, Alito posed for a picture. To his left, a man stood beaming: Paul Singer, a hedge fund billionaire who has repeatedly asked the Supreme Court to rule in his favor in high-stakes business disputes. Singer was more than a fellow angler. He flew Alito to Alaska on a private jet. If the justice chartered the plane himself, the cost could have exceeded $100,000 one way. In the years that followed, Singer’s hedge fund came before the court at least 10 times in cases where his role was often covered by the legal press and mainstream media. In 2014, the court agreed to resolve a key issue in a decade-long battle between Singer’s hedge fund and the nation of Argentina. Alito did not recuse himself from the case and voted with the 7-1 majority in Singer’s favor. The hedge fund was ultimately paid $2.4 billion. https://www.rawstory.com/alito-fishing-trip/