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X- The difference in accuracy that you are seeing is probably due to barrel fitting. The RIA barrel is probably fitted to closer tolerances than your Mil-Spec. The tightness of the slide to frame fit does contribute to accuracy, but not near as much as a well fit barrel does.

Try this- with your pistol unloaded cock the hammer and then push down of the top of the barrel. I bet that the barrel moves. Do you need a bushing wrench to take off the barrel bushing? I bet that you can remove the bushing with your fingers.

There are four areas in barrel fit that really determine accuracy potential- 1. The fit of the hood to the breach face. 2. The fit of the barrel bushing. 3. The fit of the lugs on top of the barrel to the slide. And 4. The fit of the barrel feet to the slide top pin.

If the barrel does not return to almost the exact same position after every shot, you will never have a one-hole shooter. The cheapest and easiest fix is a new fitted barrel bushing. The best fix is to have a good 1911 pistol smith to fit a new barrel or possibly re-fit yours. Either that or just shoot the Mil-Spec knowing that it will only be capable of holding a 3 or 4 inch group. Actually, I think that the guns produced for the military during WW2 were supposed to hold a 6 inch group at 25 yards. They were fit loose on purpose so that the mud and the blood and the beer would not stop them from firing during combat. Target pistols are fit tight; Mil-Spec guns usually are fit somewhat loose.