All felonies are not equal. They do not imply the person is a violent criminal, or that he would use the gun in a criminal way. Your argument is the same as the gun grabbers toot about nonfelons.
If you will reread my post, I said "certain" felonies. No, not a gungrabber in the least but "accidental" deaths out hunting always deserve a closer look. I'm like a ATF agent that I know, he said (this to an open class of all sorts of folks), "If you have an empty corner in your house, put a gun in it". You, like many, are categorizing whole professions as to fitting a certain mold, ain't gonna happen.