The second quote equates to Bateson's definition of information. The first quote denies memory and meaning that is independent of the baby's interest. I fail to see a difficulty in shifting my points of view from first to third person and back again. I do it all the time. Only differences that afford novel selections are information in this sense.
Any word is ambiguous.
That fact does not turn our word into weasels - but might make them slippery pigs.