Ah, surprised that I didn't think of it that way, considering the way that I learned about this Senate resolution was by reading the majority decision: "In fact, the most noteworthy action concerning the vaccine mandate by either House of Congress has been a majority vote of the Senate disapproving the regulation on December 8, 2021. S. J. Res. 29, 117th Cong., 1st Sess. (2021)." [1]
[1] https://www.supremecourt.gov/opinions/21pdf/21a244_hgci.pdf