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Yes, it matters, but not a huge amount. Lots of HFs ask for it. But for most employers, it is one factor among many to screen for intellectual chops. I've only heard of a hard cutoff once: during an interview process some time ago, I was told that only candidates scoring over 2350 were considered for this PM's team. And I was also compelled to take an IQ test for this same seat, so SAT was not the sole determining factor.

Overall, I don't feel it is inappropriate to ask about SAT. Not a perfect measure of intelligence by any means, but despite all the anti-test propaganda/politics out there, an individual's SAT score is, in fact, highly correlated with general intelligence assessments (citation below):

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6963451/

"SAT scores correlated up to 0.8 with measures of fluid reasoning ability and g, and as highly with traditional intelligence test scores as scores on those tests did with each other. Frey and Detterman established that the SAT (and, with Koenig, the ACT) was g-loaded, could be used as a proxy measure for intelligence, and could be converted to an IQ scale with a simple equation"

"Contrary to some opinions, the predictive power of the SAT holds even when researchers control for socioeconomic status, and this pattern is similar across gender and racial/ethnic subgroups [15,16]. Another popular misconception is that one can “buy” a better SAT score through costly test prep. Yet research has consistently demonstrated that it is remarkably difficult to increase an individual’s SAT score, and the commercial test prep industry capitalizes on, at best, modest changes [13,17]."