If I understand your point from this experiment, more rounds of batch sparging and the most efficent manifold is one answer to better efficency. I just moved to a copper manifold in hopes of keeping it on the bottom of the cooler. I kept hitting my braid with my mash paddle and working it up causing a poor incomplete drain. We'll see.
There are various things this shows to improve efficiency. Across all methods, increasing total sparge volume and reducing water left in the MLT will increase efficiency. Water being left in the MLT is hard to change since you're not going to get around grain absorption so the only thing you can do is reduce dead space in the MLT as much as possible, such as under your false bottom and water that just won't physically drain out due to MLT design (space below valve).
Now, with a leaching/extraction process like we're performing, splitting up the same volume of wash water into smaller amounts will always increase efficiency. Think of it like this, when you're pulling your sweet wort out of the MLT between each batch sparge, the liquid you're leaving behind cannot be any sweeter than what you've always drained out. So, you drain out wort of 1.040, then all the remaining liquid in the MLT is also going to be 1.040. Then you add some sparge water and dilute the 1.040 wort down to say, 1.020. You drain that out and all the wort left in the MLT will be 1.020 now. So, basically you're trying to find a way to get the gravity down as low as you can without oversparging.
So, here's what I've done.
We're going to sparge with 4 gallons of water, 2.5 gallons remain in the MLT, and the starting concentration is 454 grams /gallon.
1 Step Batch Sparge of 4 gallons
Final Concentration will be 174.61 grams / gallon
2 Step Batch Sparge of 2 gallons each
First Sparge, concentration of 252.2 grams / gallon
Second Sparge, concentration of 140 grams / gallon <--- Lower than 1 step
3 Step Batch Sparge of 1.33 gallons each time
First Sparge, concentration of 296.08 grams / gallon
Second Sparge, concentration of 193.1 grams / gallon
Third Sparge, concentration of 125.92 grams / gallon < --- Lower than 2 step
So, the more times we wash, the lower we can get the final concentration.
There is a demonstration you can do at home to show this nicely. If you're interested I can tell you but you'll need a large empty bottle (like a 2 L bottle or a large gatorade bottle, food coloring, some empty glasses (4 should do) and a measuring cup.
For these to actually work I also have to make an assumption that when you do add your batch sparge water that all the remaining liquid in the MLT will equalize and mix evenly with the water. Also, lower concentration wort will cause a bigger difference between anything remaining in the grains and hopefully help you leech out some more sugar. Now, how much that actually helps I don't know off hand.