I think you are miscategorizing or mislabeling the so-called fake experiences of watching screens or reading books. These are real, true experiences, albeit only with a screen or book. Only the content distinguishes them from so-called real experiences, i.e., experiences of first-hand interaction with the real world.
The content of the experience may be false, but the experience itself is real.
For example, if I read a novel, the experience of reading it is real, even though the novel is fiction and the events of the novel are imaginary.