I don't believe firearms limitations had or has anything to do with there use. If for no other reason, they were developed long before that was an issue in Europe.
They are actually almost ideally suited (form follows function) for the regions in which they were created. Traditionally, a typical German or Austrian revier (lease) holder or land owner will be hunting from a high seat. His purpose is to "manage" his hunting property as much as "hunt" it as we would define the term. On a given afternoon, he may encounter anything from a fox or feral cat to a roe deer to a 300 lb wild boar. A drilling is not merely a compromise, but an ideal hunting solution for such varied game.
On another day, he may participate in a driven hunt. There game may range from huns and pheasants to European hare to that same 300 lb wild boar. Again, a drilling is not merely a compromise, but pretty close to an ideal solution.
For our style of hunting in North America, they are more a novelty. I have lived and hunted two areas where they could be used as intended. One was the mountains of Northern Virginia, where a morning sitting for a whitetail could be followed with a hike along a ridge back to the vehicle and where jumping an occasional grouse was common. The other was Southwest Louisiana where we would sit for deer at dawn and then paddle a pirogue through the swamp for an hour or two jump shooting a limit of wood ducks.
And yes, it would be a great tiny ten solution in many areas.