I find that collecting first runnings followed by putting in more water into the mash, mixing well, letting sit for another 30 or so minutes and collecting second runnings (mixing first and second, obviously) extracts way more out of the grain than fly sparging.
Let me understand. You mash in and mash out. Collect all of your first wort runnings and then you add water back to your mashed grains, let sit for another 30 minutes and then collect enough 2nd runnings to combine with first runnings for you boil. I assume the water you add is +/- 170 to 175ish and you would collect around 6.25 to 6.50 gallons for a 5 gallons batch.
Is this batch sparging?
Nope. Batch sparging would be adding the second water addition and running off immediately. I don't really see the point of letting the second water addition sit for 30 min.
The point is to let more sugars dissolve out of the grain into the water. May not seem like it would help, but it really does.
But that's contrary to the theory of batch sparging. And why wouldn't it be generally applicable to everyone? Why don't I or others see efficiency oncreases from it? I think you have another issue.