I edited the original post to take into account some of the suggestions made in the thread. (Sorry, Kev, the feathering technique is too advanced for a thread in the Basic Scuba Discussions forum.) I also changed the sequence of actions.
I deleted the recommendation to breathe off the octopus on the theory that the diver might as well use the air remaining in the tank as best he or she can. Breathing off the octopus means that even more air is being used up. And if the free flow is due to a freeze-up of the first stage, then there might be two free-flowing regulators--not an improvement.
The sense I got from a number of the posts was that the diver should either use the air from the free-flowing regulator or go on the buddy's octopus. And then ascend.
With the posts so far, aside from redundant air supplies or feathering (which would not be expected in Basic Scuba), it doesn't seem like there are any options not mentioned in the original post. If there are or if they were mentioned and I missed them, please let me know.
It would be helpful if you were to revisit the revised original post and to let me know whether you think there should be a different sequence of actions.
Here is a list of the most significant changes that I have made (correction of typos and style changes not noted):
1. I made it clear that pressing the purge button can cause a free flow by adding "(whether in the water or not)."
2. I adopted the comments about current depressing the purge button by adding:
The purge button doesn't have to be pushed by the diver. If the diver is facing into the current, the pressure of a strong current on the purge button can cause a free flow. Once again, this is not an equipment failure. Put the palm of your hand across the second stage to cover the purge button so the current doesn't depress the button anymore. Or turn your head (and thus the regulator) at a slight angle to reduce the impact of the current on the purge button.
3. I emphasized that the next step should taken
immediately if smacking the regulator to try to clear it of grit doesn't work. (The need for immediacy may seem too obvious to mention, but having watched a video of a diver at depth not taking any action for maybe 30 seconds, it doesn't hurt to emphasize the need to get on the buddy's air and start the ascent.)
4. I moved higher up in the post the paragraphs on the need to act quickly and the explanation of how quickly a tank will empty. This now comes after step 1 (trying to clear the regulator of grit by smacking it).
It now says "Your next step is to make a safe, controlled ascent to the surface" to make it clear that the let's-see-if-I-can-fix-this phase is over (unless it's likely that the problem is freezing up of the regulator).
5. I inserted the text from the PADI OW manual, which provides a better description of the technique than what i had provided and warns of the (unlikely) risk of lung over-expansion injury and regulator being popped out of the diver's mouth if lips are sealed.
6. I added "added saying AHHH all the while" to keeping your airway open for a CESA.
7. Based on the response that bending the hose is feasible, I eliminated the questions in getting kinky and adopted the suggestion of how to bend the hose over.
8. In buddy response, after "Move closer to be able to offer assistance" I added "Immediately. Don't just gawk."
Most of the posts helped clarify my thinking on this subject. Thanks for the help so far.