I'd be thinking more about my technique than looking to the rifle etc for answers.
To "read" groups you need to be doing several of them, and seeking consistency - a modern rifle that will shoot well at 500 yards/metres will be shooting well at 300, 200 and 100, ask any F Class shooter.
I see many small groups shot at various ranges, but they are usually "cherry picked", and the shooter isn't aware that they are doing it (to themselves). If I had a $ for every time I'd heard someone say "oh I pulled that one" I'd be rich - but usually the only person they are kidding is themselves, their group just opened up and it was the rifle/ammo.
Someone will no doubt say that "I shoot well on game but can't shoot groups" and many people can knock over animals without being a particularly good shot - an animal has a pretty large target area. If you think you are getting good then try head shooting rabbits at extended ranges from various positions.
There are those who are good on a range but struggle to make shots in the field outside of the controlled terrain and position of the range.
However If you look at the guys who win at the likes of Sparrowhawk and Jungle Lane type shoots you'll find they can shoot well in all scenarios and their groups at closer ranges will be itty bitty things.
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