The actual difference in accuracy should be the same, but if the 12 recoil is causing a flinch and the 20 does not he may shoot the 20 better. Normally with shotguns I advise 12 over 20 because you can almost always get 12 loads that are loaded down to 20 ga recoil and performance if recoil is an issue. Slugs shooting is not an area where I'm particularly experienced. This may be one of those times where a 20 may be adviseable.
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