As far as I know, military brass is supposed to be somewhat thicker than civilian brass. The difficulty is checking that's actually true for whatever brass you have on hand... otherwise you're like me, relying on what everyone else says.
I wonder why Hornady recommends less powder for the military brass than for the civilian brass? The issues that I heard about was how tightly military cartridges are crimped (to resist bullet movement in automatic weapons), and at what COAL compared to whatever you're loading. Tighter crimp means higher peak chamber pressure, same with shorter COAL. But if you reload milspec brass, you presumably won't be crimping as hard, so why reduce the powder load? In the end, I'm juggling with several unkonwns.
I can only speak from personal experience: I began in the low end of the chart for my 9mm loads on Israel Miliraty Industry (IMI) brass, but not at the actual minimum.
The data for Hodgdon CFE Pistol powder, Winchester case, CCI 500 primer, Berry's 9mm 124gr Hollow Base Round Nose Thick Jacket (HBRN TJ) at a COAL of 1.150" is
4.9 to 5.5gr.
I used IMI cases, CCI 550 (magnum) primers, Winchester 9mm 124gr FMJ bullets, with a shorter COAL of 1.123", and started with a load of 5.1gr of Hodgdon CFE Pistol powder:
Same load, but with Geco cases at 1.121" COAL:
As you can see, the cases come out dirty as hell... I suspect that it's in part the fault of the Beretta Cx4 I use: it's a straight blowback design adapted from a military SMG (the Mx4) so I suspect the chamber might be just a tad oversize for reliability. With loads of 5.3gr, I have noticeably less soot on the cases than with 5.1gr, but it's still more soot than what the original factory loads from IMI were showing when I shot them:
I'll definitely try 5.5gr next, and I want to try slower powders too. First, I need to get a chronograph.