Football padding is good at spreading out the force over a larger area, and a little bit good at spreading it out in time. But it doesn't really change the amount of energy (or impulse) received. It is a violent sport by design, yet we aren't maiming or killing that many players considering how many people play. I would be much more concern with longer term, chronic, injuries, which are common* for those who play for many years.
OTOH, if I had kids, they wouldn't play football. In the long run, injuries aren't really avoidable. Ask any 60 year old who played at a high level about their knees...
* "the studies that aim to identify the prevalence of CTE in football players have shown unequivocal findings. In the largest ever case series of CTE, involving 202 deceased former football players, Mez et al. (
49) demonstrated the existence of CTE in 87%, including 99% ex-NFL Players (
49). Additionally, the magnitude of disease burden was correlated to level of play, with high school athletes having mild CTE, and NFL players showcasing the most severe form of CTE. In a retrospective cohort study of 3,493 NFL players, Lehman et al. (
50) concluded the risk of mortality due to neurodegenerative causes to be 3x higher than the general US population, and 4x higher for ALS and AD (
50). Additionally, ex-NFL players over the age of 50 have also been shown to be 5x more likely to be diagnosed with dementia than national population averages (
51)."
--
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6018081/