Interactive Story telling.
Interactive Storytelling to me is seeing the same thing as someone else and interpreting it in your own way. For instance, if we watched a group of people all watching a movie or looking at a piece of artwork they would all react differently to it. Their different reactions are how they interact with the movie or the artwork. Group 1 was disscussing how we could record a couple in a public place having an arguement from a few different angles. We would watch everyone's reactions to the argument from the different angles. Some might think they are argueing for one reason while others think it was about something else depending on where they were sitting and what they could see.
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However, this is different from interactivity in our case. From what you say, we could also label literature as interactive because every reader interprets it differently. But the interpretation does not change the work of the author. And this is a particular characteristic of interactivity.
To take this to an extreme, think about quantum mechanics, the Heisenberg uncertainty principle or the observer effect which refers to changes that the act of observation will make on the phenomenon being observed. Also look at the Schrödinger's cat where the cat is supposedly neither alive nor dead until observed.
The definition of the Rashomon effect reminded me of the movie "12 Angry Men." These men, who came from different backgrounds, came together as a jury to decide if a boy was guilty of murdering his father. One man would not quit, until he had thoroughly analyzed the different angles of the story. Eventually, he changed the votes of his peers.