I like it.
I have plenty of input, though. But I'm trying to be constructive, so don't take it as me not liking it.
It seems to me what you're doing is arguing theme vs. plot. Your assumption seems to be that linear media can be reduced to themes being delivered through a plot. But I disagree, in a sense. While linear media is composed of plot events, sometimes those events serve to move the plot forward (in a story-arc sense) and sometimes they drive the themes forward. In this sense, there are plenty of examples of linear media that are
heavier in theme and
lighter in plot/story-arc. I know this is true because some of my favorite movies are like this and I try to seek them out, for example Tarkovsky's
Solaris.
Therefore, I think your view of linear media is a little limited. You mention in your example getting mugged. That's not the only thing you're able to do with linear media; you can simply describe a series of linear events that are in your interactive example. Thematic books will do this - they'll describe a scene and the emotions characters go through. The characters might have conversations that don't necessarily move the plot forward, but instead focus on building up the themes.
I would like to point out something, though. It seems to me - based on the success of certain linear media - that society as a whole tends to favor more plot-driven media as opposed to thematic media. I think this is because thematic media tends to be more abstract, which requires knowledge of a language in order to understand.
I think this language is also media-specific. That's part of what you learn when you study books or film - how to read the themes behind the plot events.
Lastly, your argument for intrinsic value in interaction is excellent! Graphics are indeed more than just what is needed for gameplay. Well done there.