You describe that as an analogy, but I always took that to be what it actually is (or at least one very simple example). Are you saying that that is how we interpret our experience intuitively, but we need a more radical account under the various mainstream interpretations of quantum physics (Many Worlds, Copenhagen, etc.)?
That’s right. Not only it’s an analogy, it is also a bad one and completely misleading, at least according to physics of the last 50 years. Note how the article frets about the loss of locality.
The only thing we experience from preforming at an experiment is the data it provides. As such from the data from existing experiments is where all the spooky action at a distance is actually observed.