Throw-In Team?

[clewis]

It is understood that on a try, when a ball is lodged between the rim and the backboard, we go to the "arrow".
The question is... How does this differ from when try is made and the ball, we'll say, bounces off the rim and over the top of a rectangular backboard. Why do we give the ball to the non-shooting team and not go to the arrow?
My understanding is that once the try is made, there is no player or team control. So how do the two senarios differ and how is the above question answered correctly.
Chuck