You may have run across a reference to a Science article by Sparrow, Liu and Wegner who conducted several research studies suggesting that access to Google (and I assume other search services) may reduce memory functioning. The decline was attributed to transactive memory (not a term I recognize as a Psychologist). However, as a male, the article does explain that issue in a way I can understand.
It may be that the availability of Google may influence information storage/retrieval somewhat in the same way as the availability of a wife influences the storage/retrieval of a husband. When you get used to relying on a memory aid, you may not process information as effectively as you should (if you are the husband). In other words (my interpretation), it is easy to become lazy when we have a resource we think we can rely on.