As expected, David Deutsch and Chiara Marletto fail to clearly distinguish information from the symbolic representation of information [1].
For example, they say: "Information can ... be moved from one type of medium to another..." But they should have said: "Symbolic representations of information can ... be moved from one type of medium to another...".
So it is not surprising that they are never able to say what information itself is. Instead they 1) try to describe the "character" and "properties" of this thing they can't define (i.e. information); and 2) make assumptions about this thing they can't define (i.e. information):
"we are concerned with the nature and properties of information"; "information has a counter-factual character"; "information is a qualitatively different sort of entity"; "information does resemble some entities"; "information is not abstract"; "the intuitive concept of information is associated with that of copying"; "This will allow us to express information in terms of computation"; "our search for a deeper theory of information"; "An information variable is a clonable computation variable"; "we assume that unlimited resources are available for conversion into information storage devices"; "we assume that unlimited resources are available for information processing too."
1. Constructor Theory of Information, David Deutsch, Chiara Marletto, https://arxiv.org/abs/1405.5563v2