One case for script/ that I can think of, and something almost all of us would end up using almost daily :
http://drupal.org/node/59863Essentially it's a command line wrapper for Drupal.
This can be useful for a great many things, but imo primarily for automating the install system.
for installing a new site of a specific distribution :
scripts/drupal.sh --cmd install.php --site
mydomain2.com --db mysql://username:pass@localhost/dbname install profilename
for updating a specific site (useful in a script which recurrs through sites/ whenever you alter the source) :
scripts/drupal.sh --cmd update.php ---site
mydomain.com update