... Here cutting through the dualistic mind refers technically to rhythmical shouting of mantric syllables which is done in some traditions but systematically only in very few (at least what I know about).
...
J: "After 2 hours after the shouting session, my mind and perception kept flickering off and on. It was similar to lights being turned off and on, off and on, again and again, in a quick rhythm. These cessations lasted for a few seconds at a time. It kept happening again and again. Afterwards I felt very tired".

Are you equating the "flickering off and on of mind and perception" as described here with cessations/fruitions that mark the end of an insight cycle (be it a "macro" cycle or a quick one in a review phase)? Or do you mean nirodha samapatti? Both seems more than far-fetched to me. As neko already mentioned, a lot of stuff can be the cause of such kind of flickering. I often, not always, experience episodes of "flickering" during A&P (rather fast), some of the dukkha nanas (rather slow) and at start of equanimity (refined and fast). It's not at all surprising that a rhythmical shouting causes a mental echo that lasts for some time--shouting is a rather intense activity. Contrary to the reported tiredness, a cessation, and probably much more nirodha samapatti (never been there), does result in a substantial sense of bodily and mental refreshment (at least for me).


Kim wrote ::::

This is what I mean. Daniel says: "I always mean the cessation of perception and feeling when I use the word “Nirodha,” but others may not.", quoted from here.
 
>Contrary to the reported tiredness, a cessation, and probably much more nirodha samapatti (never been there), does result in a substantial sense of bodily and mental refreshment (at least for me).

I suppose this can depend on various factors.

If anyone wants to try the practice mentioned above, here: https://www.youtube.com/watch?v=98YK98chvEw
It can be done both as sutra and tantra practice with results.

The flickering that you or your student experienced is an effect created by the practice that you were doing, that also includes the no thoughts that was experienced. This has nothing to do with Cessation/Nirodha experiences. Don't go teaching such rubbish to people, or at least run this by a number of meditators who are experienced in these aspects of meditation first as apposed to a reference to a book.