I'm interested to see what you find. When I've attempted the same thing on my system there was no significant difference in efficiency. Milling tighter just made increasing the mash temp very slow.
OK, here are the results of my 1st test. This was better than I had been getting BTW
Recipe was a More Beer kit and is was pre-milled but was course
I ran it through my Monster Mill set @ .030" and it was pretty fine.
In my past brews using these kits i had been high 70's to 80 on mash eff and a low 70 to high 68 for brewhouse eff.
So Today I did as follows
I had 9.5 lbs of grain and used a 1.33 water to grist ratio for the mash.
I ran the pre-milled grains (guessing they were 40 to 45 thou) through my mil set to .003"
Had just over 3 gallons of water in the mash tun and then doughed in.
I let the grain sit for 10 min, measured PH @ 5.22 then started recirc at wide open on pump and valves for 75 min. @ 148*
I did my mash out going for @ 168* as normal but could only get the mash to 167* but mashed for 10 min anyways.
I then did a very slow sparge using the same hose as done for recirc laying on top of the grain bed for a total of 40 min for this 5 gallon batch.
My pre-boil volume was about 8.6 gallons @ 1.036 for a mash eff of 89.9% (Beersmith predicted 1.034)
I did a 60 min boil with 5.5 gallons into the carboy with a reading of 1.046 for a brewhouse eff of 73.5%
Needless to say I am very happy with these results for now. These numbers were in line with what I had been getting but just with better eff with the finer mill.
Now I will try test 2 to see how things compare
Cheers!