To print multiple sets and have the printer staple each set (instead of stapling them together), you can do the following:
In either Acrobat Pro X or Reader X
-- select File/Print from the menu to bring up the print dialogue box
-- select the desire printer (if other than default)
-- click on "Properties" button
-- Go to the "Output" tab and select the stapling option desired
-- click on the "Advanced tab"
-- click on the + next to "Paper/Output"
-- click on "1 Copy" and update the number to the desire number of copies
-- make sure the "Collated" box is checked (if not, click on it to check it)
-- click ok (to exit properties dialogue box)
-- click ok to print
Note that the exact dialogue you see will depend on the printers/drivers you have.
The problem seems to be disconnect between Adobe and the collated sets handling of the printer. To see how this is true, look at the print dialogue box just prior to clicking "ok" to print. In older versions of the software you'd see that "copies" and "collate" options on the print dialogue box have been updated after doing the steps above. In the new versions, they are not. However if you print at this point (without changing the copies or collate options on the print dialogue), you will get your individually printed sets at the printer. Of course if Adobe worked correctly, updates to the copies and collate option in the print dialogue box would get passed to the print driver, but apparently that isn't happening.