Not indefinitely. "to maintain the status quo," they stayed their ruling until Jan. 4, (the day before the secretary of state's deadline to certify primary ballots for march 5) That means that if the U.S. Supreme Court agrees to hear the case and is still in process by that date, Trump's name should be included on the ballot. If the SCOTUS does not agree to hear the case, then his name won't appear. This forces SCOTUS' hand to pick up the case ASAP.

Not indefinitely. "to maintain the status quo," they stayed their ruling until Jan. 4, (the day before the secretary of state's deadline to certify primary ballots for march 5) That means that if the U.S. Supreme Court agrees to hear the case and is still in process by that date, Trump's name should be included on the ballot. If the SCOTS does not agree to hear the case, then his name won't appear. This forces SCOTUS' hand to pick up the case ASAP.