Basically, here is what I gleaned from that debug log:
Recalling skills without checking the checkbox submits:
account.php?actions[]=recallskills&action=Recall+Skills&tab=account&pwd
(and every other actions[] on that page) and gives a message:
You must confirm the confirmation box.
Recalling skills with the checkbox checked submits:
account.php?actions[]=recallskills&action=Recall+Skills&recallconfirm=1&tab=account&&pwd
(and every other actions[] on that page) and gives a message:
Your ancient memories return in a flood! You feel more skilled! You remember some old familiar familiars!
I assume that Dropping Bad Moon, Dropping Hardcore, Dropping Ronin (i.e., going from Softcore to Casual), and dropping a Path all behave the same way: the "action" is button text, url_encoded, and the confirm checkbox appears as a separate field in the url when submitted.