Since some time, the deletion log is displayed if you visit a deleted page or create it. This is a very useful feature, however it does not help in two cases:
(1) The page is moved and the administrator deletes the redirect without including a link to the new page title in the deletion comment. The user sees only a "unnecessary redirect after page move" in the deletion log (which doesn't really help); only experienced users will visit Special:Log/<pagename> as there is no link to the general log of the page.
(2) The page is moved with suppressredirect enabled. Then, there isn't even a deletion log entry, thus no information provided for the user (who in most cases searches the page). Again, the only option is to guess that the page was moved and check the log.
Therefor I think that just like the deletion log, the move log should be displayed as well.