With apologies to the Iron Chef.

I did a comparison of Peter Reinhart’s Neo-Neapolitan-style vs. Tom Lehmann’s NY-style dough tonight.
The mix:
The Reinhart dough followed the recipe in American Pie
22.5 oz flour (I used KASL) – enough to 4 12-inch pies
1 tablespoon sugar
3.5 teaspoons kosher salt
1 teaspoon IDY
2 tablespoons olive oil
1.75 cups plus 1 tablespoon room temp. water
The Lehmann dough recipe:
12.11 oz flour (KASL) – enough to make 2 12-inch pies
0.21 oz kosher salt
0.03 oz IDY
0.12 oz olive oil
7.63 oz water
I made both types of dough in my Kitchenaide. I mixed the flour and IDY together in the bowl and then added the water, in which the salt (and sugar in the Reinhart dough) had been dissolved. Reinhart just says to mix everything together and Pete-zza suggests adding the flour to the water. However, I found that reversing Pete’s suggestion worked better with my Kitchenaide. Slowly adding the liquid seemed to tax the machine less and the dough came together better than when I added the flour to the water. After mixing for a few minutes, I added the oil called for in each recipe. Total mixing time was about 5 minutes for each type of dough.
I then let the each dough mix rest for 5 minutes, per Reinhart’s directions. After the rest, I mixed each dough recipe on medium low for an additional 2-3 minutes. The finished dough temperature was 72-74 F.
I split the Reinhart dough into 4 balls and the Lehmann dough into 2 balls. The Reinhart dough sat on the counter for 15 minutes, per Reinhart's directions and then went into the fridge. The Lehmann dough went directly to the fridge after mixing.
The Reinhart dough was a little smoother and less sticky than the Lehmann dough both after mixing and after 20 hours in the fridge and 2 hours on the counter. The Lehmann dough seems to be more relaxed, the ball was “flatter” than the Reinhart dough. (This has been my experience in the past with Lehmann dough)
Here’s what the dough looked like in the plastic bags they raised in the fridge overnight. Note the Lehmann dough is a little flatter.