It was a 9-0 ruling, by the way.
Unfortunately, this upcoming recess is "THE" recess as cited in the Constitution. That is, it is the recess between Congresses.
With the NLRB recess, that was simply a break between adjournments where the House and Senate did not agree to recess for more than three days, keeping pro forma sessions going. This time, the Congress actually ends and a new Congress is formed, so there cannot be a continuing pro forma session to avoid the recess.
-PJ