I understand what you are saying and we can never truly know what is going on inside someone’s head. However this quote from a teammate makes me think he had severe CTE. Teammate and author Michael Oriard would later describe Tyrer in the book "The End of Autumn" as "the unlikeliest suicide-murderer to those who knew him." Brain damage can affect people in very different way. A hall mark of CTE is making decisions that are self destructive. There could obviously be other mental issues, but I am convinced CTE makes these issues much more severe. Which while this is extreme, it does fit the pattern. Remember Chris Benoit?
The point I'm trying to make is that the specific cause of the murder-suicide, even if it could be identified which it cannot especially given that it occurred nearly 45 years ago, should not be an issue when it comes to HOF admission. We all agree that something wasn't right with him.
When I was growing up in Walla Walla, in the '60's-early '70's, a mother shot her husband and her children, thinking that she was saving them from the Devil, before turning the gun on herself. The mother had a known mental condition and had just been released from the hospital. I worked with one of the surviving kids.
I don't want us as a society to think that CTE is such a contributing factor to murder-suicides that people rule out other possible causes. The internet is full of examples of murder-suicides where football, ie CTE, was not a factor. Tell the story as is known, not by what is speculated.