Brunson isn't quite correct.

https://www.supremecourt.gov/orders/ordersofthecourt

The vast majority of cases filed in the Supreme Court are disposed of summarily by unsigned orders. Such an order will, for example, deny a petition for certiorari without comment. Regularly scheduled lists of orders are issued on each Monday that the Court sits, but "miscellaneous" orders may be issued in individual cases at any time. Scheduled order lists are posted on this Website on the day of their issuance, while miscellaneous orders are posted on the day of issuance or the next day.

So if they wanted to, the SC could certain release the decision result at any time, not necessarily Monday.

In fact, the SC already issued one order: https://www.supremecourt.gov/orders/courtorders/010623zr_k537.pdf

FRIDAY, JANUARY 6, 2023

ORDER IN PENDING CASE

21-887 PEREZ, MIGUEL L. V. STURGIS PUBLIC SCHOOLS, ET AL.

The motion of the Solicitor General for leave to participate in oral argument as amicus curiae, for divided argument, and for enlargement of time for oral argument is granted.

What that means, I don't know, nor do I know what the implications are re: the Brunson case, if any (i.e. that the order NOT being released immediately means the petition is denied?) but I guess we'll know for sure on Monday after all.

Recommended: Keep your expectations in check.