Except I do understand your point and my answer was right there. I'm not really sure where you get the idea that blamed is placed, when all these stats are doing is accounting for suicides that were committed through the use of a gun. There is nothing to "blame" in this case. Furthermore, there have been tons of studies that are (currently) trying to figure out why Americans are motivated to use guns to kill themselves, that's why I mentioned that there is an importance in contextualizing the reasonings for homicides by gun, and suicides by gun.
Off the top of my head, these studies mentioned impulse being one of the main drivers of suicide, which leads to people using their guns for quick suicides. The impulsive moment of panic, and despair is why some researchers note the importance of mental health resources so that the acute feeling wears off and decisions can be made based on reality rather than a temporary heightened feeling that makes things out to be worse than they actually are.