If water that falls onto a hot plate on Shabbos immediately "burns" up and evaporates, does this fall under the Av Melachah of bishul? (The pracitical application of this I want to leave aside. Especially since there are points involved of malacha shaino tzricha l'gufu, davar shaino miscavain, etc.) My question in particular is if this is considered to be a "maseh bishul" or do we look at the water being burnt up and evaporated in a different way in terms of Meleches Shabbos.
See :שבת דף עד where we learn about something similar:
Somebody who throws a wooden peg into an oven has trangressed Bishul, since the moisture in the peg gets cooked away. He is חייב even though his intention was to fortify the peg, and not to dry it out.