Don't know the specifics of the Baker case, but if the governor's so-called authority oversteps the Constitution, then it is those who support Baker's actions who don't want constitutional rulings.
The point is this is a state Constitution issue, meaning it is a total state issue the USSC has no jurisdiction in this particular case because there is no Federal interest. When Biden announced his vax mandate, what was the loudest legal argument against the fed gov having such authority? It was that health mandates are, and always have been state issues since the Federal Constitution does not give the fed gov authority over health issues such as mandates. Hence the USSC has no authority to make any ruling on this case so what the USSC just did is 100% Constitutional. To accept the case would have been unConstitutional.