It's a common mistake, but in days past, and editor would have stepped in to clarify these reports.

The headlines are blaring, “New York’s Supreme Court has ordered the reinstatement of untaxed employees and ordered back pay”, and implying that this is a significant decision. Here’s a typical example:

In an unexpected win for medical liberty, the New York Supreme Court just ruled to reinstate workers whom the state fired for refusing COVID-19 vaccines, according to Fox News. The court further ordered that the workers receive back pay.

The decision may be encouraging, but it is in no way final, because it’s ruling from the state’s lowest, not the highest court (which is known as The Court of Appeals). Wikipedia explains:

The court is radically different from its counterparts in nearly all other states in that the Supreme Court is a trial court and is not the highest court in the state. The highest court of the State of New York is the Court of Appeals. Also, although it is a trial court, the Supreme Court sits as a "single great tribunal of general state-wide jurisdiction, rather than an aggregation of separate courts sitting in the several counties or judicial districts of the state."[2] The Supreme Court is established in each of New York's 62 counties.[

So, we’ll await developments.