If you fire a shot let the barrel cool 5-10 minutes fire another let it cool fire another it's a 1.5-2 in group. If you just send them all 3 back to back it shoots great. It also prints same point of impact on target.
This is a brutal test which I discovered a long time ago -helps me.
I do a lot of cold bore accuracy testing (after full hot bore load development).
I do it at my worst range (200yds for some reason), and at a 10min/sht rate, because I discovered that this is always the worst rate.
When I CB develop I want to see my worst. I want to know up front whether the gun has any real cold bore hunting potential.
With this I've seen guns with excellent precision (hot bore grouping) that I would not consider CB accurate enough for hunting. Worst here was a Tubb T2k tube gun.
I have also seen guns that were terrible hot bore groupers, but VERY cold bore accurate. A Browning A-Bolt re-barreled to 6BR stood out in this regard.
Two guns I hold that shoot both equally: a Cooper and a custom BR gun I built.
Your wrapped barrel may be presenting what I seen with my tube gun. It had to be stable to shoot. No transients.
I could warm-up shoot a few, move over to a 600yd target and put 5 or 10 shoots into a 2" bull. No problem.
But if I then wait 10mins and fire another, it would miss the bull. Wait another 10mins and fire another, it would miss the bull again, with the missed shot close to prior missed shot. If I quick fire off another, this shot returns to the bull.
So the gun did what it was designed to do,, it was never a hunting gun (as I hoped it 'could be').