Make keyframe proportional editing possible in pose-mode

You can move keyframes values, and have the neighboring keyframes change using proportional editing. Similar to how it works editing verticies in edit mode.

But it isn't possible to move bones like this in the 3d view. As is seen in the gif

Especially after baking physics animation, or just fine-tuning poses. Being able to pose directly in the 3d view, and have neighboring key-frames move as well with proportional editing would be extremely useful!