I am sure doctors asked you about your sex life, your lifestyle choices, your habits, your diet, your health, etc. It's common. I don't remember being asked about guns but I don't think he would given my age and my general health being.
But I can tell you that I know several people who committed suicide by gun. I don't remember one who committed suicide with other methods. Gun is just quite effective. And one HOH girl, only 13, killed herself with a gun... and that gun belonged to her father who was a cop. My great uncle committed suicide with a gun.
So, having a gun in the house does increase the risk of suicide significantly. The risk factor is already established and there's nothing you can do to change it as long as you own a gun.
It's really hard to kill yourself, even with drugs. Often times when you OD, you panic after a few minutes and you get medical help which literally saves your life. But with a gunshot, there's no "second thought." It's hard to kill yourself with a knife. It's too painful.