Maybe I am oversimplifying things, but it appears to me that when a table name is displayed at the top (div id="serverinfo") it would be a good single point to call the "remembering" function.
Thanks, Marc. This should be a good point to remember accessed tables. I've implemented this on my "browsemode" branch.
Next: remember the recently accessed tables in PMA database (if configured).
-- Aris Feryanto