There is no evidence to support your claim. It is a fact that as pitchers age they are more susceptible to injury than younger ones as a group. Individual exceptions obviously exist.
“Yes, baseball pitchers over 30 are generally more susceptible to injuries and performance decline compared to their younger counterparts
, largely due to accumulated wear and tear, and a natural performance drop-off that often begins at age 30. While younger pitchers (20-25) are at risk, older pitchers frequently violate pitch count recommendations and face fatigue-related injuries, though they sometimes exhibit better mechanics. “
A simple google search proves my point. It’s also common sense. As we age, pitchers and the general public, are more susceptible to injuries and illness. For example you don’t hear much about falls being a major source of broken bones in 20 year olds but in 80 year old people it’s a big issue.