Earlier quoted context omitted.
It also takes massive quantities of powerful poisons and sedatives to drop an elephant. And either of those options can take time. And cost. As to potentially giving your position away due to gunfire, the savannah is a big place and relatively flat. You can be hours away from the next human being. You can see them coming from miles away. And it makes it difficult to tell where sounds are coming from. So while you may…
I also would not be surprised if bullets are easier to acquire than poisons and sedatives. Along with the delivery mechanisms. AK-47s and their ammunition are abundant in many parts of the world. I don't think the same is true for dart guns for large sedative darts. EDIT: I don't know what weapons poachers are using, so AK-47 is just the first thing that came to mind. They maybe use higher calibre weapons?
But your point is valid. Ammunition is easier to acquire and/or make yourself.