Even if it was an overall reduction, as the IIHS puts it, "The models that rank among the best and worst performers on both lists point to the unfortunate fact that vehicle cost remains a factor in road safety".[1]
Optimizing public safety in this way may--even if it were true--leads to deeply inequitable safety. Large cars are safer for richer people while disproportionately affecting poorer people and children.
[1] https://www.iihs.org/news/detail/latest-driver-death-rates-h...