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Yes paper tuning is mostly for up close, , BUT it will show if the arrows are twisting and cutting in all different ways, as if flying bad, and not just you aiming off target
like if one arrow is...

OK let me ask you, is it group size that is getting larger at 40 yrds over say 20-30 yrds?
and have you paper tested at 40 yrds to see if there still flying well, before you go and re fletch
many...