In the end they are wrong, because as a biologist you know that the concept of "information" is of limited use in biology.
Looking at it from the other direction, the usefulness of the term "information" is determined by how well the definition describes biological processes (as you describe so well in the rest of your post). Unfortunately, the last thing creationists are trying to do is accurately describe biological processes. They are instead trying to reach a pre-determined conclusion, accuracy be darned.
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