This trope is named after the ending of the first season finale of Happy Tree Friends, where one can briefly see Toothy being flung out of the bus. He could had fallen to his death, but it is still left a mystery.
If the Word of God is that the character did die, it is Toothy Fell To His Death. If it is otherwise, then it is Cushioned The Fall For Toothy.
This trope has nothing to do with Tropes on a Bus.
Well, if Word of God says no, that's Cushioned the Fall for Toothy.
This is where someone who worked on a work confirms that the character had not died, and rather survived.
Compare Toothy Fell To His Death, where the character is conformed to have actually died.