This is incorrect. I can tell you offhand soccer and hockey both have lower rates of CTE’s, soccer by a significant amount. American football has been the most studied and reported on because of how bad it is and how popular the sport remains anyway
"This analysis revealed that risk ranged from a 5-fold increase in Alzheimer’s disease, through an approximately 4 fold increase in motor neurone disease, to a 2 fold Parkinson’s disease in former professional footballers compared to population controls."
https://www.thepfa.com/news/2019/10/21/field-study-increased...
"...the odds of having chronic traumatic encephalopathy (CTE) increased by 34% each year [of ice hockey] played, and 18 of 19 National Hockey League players had CTE."
https://www.bumc.bu.edu/camed/news-events/articles/2024/larg...