"The bare/fletched shaft and paper test indicated a weak reaction."
The two are completely incompatable..You can't get one to pass one test without failing the other. Talking folks trying for bullet holes as normally done. If you are looking for the paper to be weak, how much? How do you measure it? 3', 6', 10', 20', will all show different length tears from the same shot and will do so because of release or bow hand torque. Release and bow hand torque could make shots shoot "bullet holes" as well, once in awhile!
"I can put my bare shaft, field points, and broadheads out of my compound in a 4 inch circle at 40 yds. Since I am a little bored with that and I am getting old, I wanted to go back to the archery of my youth."
Yes sir, thats the results we want no matter how we got there. Bet you aren't doing that with the longbow slapping the riser? That's a classic "stiff" condition, arrow nocks too tight on the string, nock point a little low or all three....O.L.