Information- The "I" in CSI
When IDists speak of complex specified information they are using it in the following sense:
information- the attribute inherent in and communicated by one of two or more alternative sequences or arrangements of something (as nucleotides in DNA or binary digits in a computer program) that produce specific effects
When Shannon developed his information theory he was not concerned about "specific effects".
It is producing those specific events which make the information specified!
And that is what separates mere complexity from specified complexity.