All the air powered 3/4 drive tools I have seen have a heavier and slower running impact mechanism than their similarly rated 1/2 counterparts. So, while over 5-10 seconds both the 1/2 and 3/4 build up to the same bolt tension, the 3/4 hits much harder. That heavier hit can really get things moving with a stuck fastener while the 1/2 will hammer away with no progress because it can’t hit hard enough to break it away. Most cordless 3/4 drive tools I have seen share common parts with the high torque 1/2 gun, but use a 3/4 anvil. They can build up the the same bolt tension after 5 or 10 seconds, but they just lack the hitting power to really free up stuck fasteners. If the 3/4 Milwaukee won’t budge it, my 3/4 air rated at 800FtLbs (significantly less than the Milwaukee) will have it unstuck in no time. Not saying one is better than the other, but they do behave differently.
On the compressor front, it all depends how you are using it. You don’t need a big compressor to run a 3/4 drive impact if you don’t plan to take a bunch of nuts off all in one go. If it is a nut or two here and there, a small compressor works just fine. If you are doing a bunch of nuts and don’t want to stop after three or four nuts, then a larger compressor is required.
The trick with a small compressor is getting the air in the tank to the tool. You can NOT run the air line from a built in regulator. Those regulators that come on smaller compressors work fine for feeding nail guns or other tools that don’t require much air flow. They are embarrassingly cheap, and will NOT flow the amount of air required by your gun. You need to tap in directly to the tank. Trust me, a tap on an 11 gallon tank at 120 psi will give you all the power your gun can offer (~90 psi working pressure), but feeding it from the built in regulator set to 120 psi won’t work worth beans because it is so restrictive you won’t get anywhere close to 90 psi working pressure. 3/8 fittings or 1/4 high flow couplers are also helpful with small compressors which are typically limited in pressure. Use a short (25 foot) 3/8 hose with good air fittings and it will work just fine. While I was waiting for my new 80 galling compressor to arrive I had to make due with my 11 gallon portable compressor. At 120 psi with the hose tapped directly into the tank, I could easy remove two 36mm axle nuts with my 3/4 before it would kick on.