In NHTSA's crash sample (CRSS, 2019–2022), 4.0% of police-reported crashes that cite tires ended in a serious or fatal injury, against 2.9% of all police-reported crashes. A crash that cites a system is not necessarily a crash that system caused.
What it shows: No Apparent Injury is the largest at 69.3%, followed by Possible Injury at 13.3%; the smallest shown is Fatal Injury at 1.1%.
Data and chart by CalcScrape: Tire Cost Calculator