That's kind of sad actually. I also know the last few churches I've been in have a visitation pastor specifically for visiting shut ins. My grandfather's pastor comes to visit about once a month, and the associate pastor visits about once a week. The youth group also visits ever few months. He really looks forward to it.
In years gone by it was fairly easy for pastors to visit as they lived in fairly small communities and had small congregations. Today there is unfortunately very few workers in the field and some pastors have to accomodate hundreds of people. It is sometimes simply impossible to visit all the people.
As members of Christs church, we should all take on the responsibility and help out where neeeded.
Biblically speaking the office of priest in the new testament chuch is relagated to every believer with Jesus being the high priest. The office of pastor is a new covenant office.
Churches tend to be larger now then they were in the earlier history and it may be almost impossible for a pastor to visit everyone particullarly in the larger ones but soem Pastors still can and do visit.