SP,
Love the video/pictures that you've posted... looks VERY similar to how I've seen the naan prepared and stored in an open-concept takeaway kitchen that I used to frequent when I lived in another city. I've learned a few things recently as to how Naan is prepared that I was ignorant of in the past.
Originally, I eschewed the self-rising flour as being unimportant aside from the extra salt/leavening, but it actually is critical - not for its added components but rather as it is a different type of flour. Indian Maida (which is what is traditionally used for Naan) has a lower protein content than standard All Purpose flour. Self-rising, at least how it is sold here in the states is of a similar flour type. I bought a bag of Maida from the Indian grocery store, and this produced a more-tender result that I had not accomplished in the past. I may have also worked this dough too much, so I have learned from the information provided here that less is definitely more and will be trying another go sooner than later to see if the texture improves further.
But the reality of it is self-rising flour is going to be a lot cheaper, so that is likely what all our restaurants use in lieu of imported Maida. I actually have a standing question with the grocery shop owner, as he knows some restaurant owners and actually offered to ask them how they make their dough!! I told him I'd pay to get some lessons in a kitchen, too. So we'll see where that goes.
One thing I have noticed is that most/all of our restaurant Naan doesn't appear to use eggs. Whether for cost, regional preferences of the restaurant owners or what I'm not sure. Has anyone come across BIR naan that is made in a similar way, or do all of them seem to be about the same?
Before anyone asks - I have one of the most awesome tandoors I've ever encountered, so I have that part of the process covered.
I'll have to give your recipe a spin the next time I fire up the tandoor and see how it compares to our US-IR naans.