The concern is over what will happen as strong encryption becomes commonplace with all digital communications and stored data. Right now the use of encryption isn't all that widespread, but that state of affairs is expected to change rapidly.
I think most organizations have an interest in key recovery, at least with respect to stored data.
With those people, I'm very far apart, because I believe that government access to communications and stored records is valuable when done under tightly controlled conditions which protect legitimate privacy interests.