It sounds as though public attitudes in Germany to legal gun ownership are similar to ours: that it's out of the ordinary except for farmers and gamebird/clay shooters, in other words countrymen or those aspiring to be countrymen basically.
Sure there are a lot of less than wealthy country-dwellers who enjoy a spot of pigeon-shooting on farmland (I know plenty) but hunting? I don't know that anyone does it over here anymore. As you suggest, most people would regard other types of gun-owners (rifle, pistol etc) with suspicion.