The MPOI of my "cold shots" group vs "hot bore" is 2.6mm different for windage and 0.1mm different for elevation at this stage. (0.026 and 0.001 mrad - .25 and .01 of a click). That's as close to "the same" as you can get, of course it could change wildly with 3 more shots if they were miles out of the group but at this stage there is no evidence that it's different at all.
the mean radius hot was 0.05mrad, cold it is 0.06mrad. Again currently functionally identical. The usual concern is that barrel heating will cause a group to "open up" and precision to degrade. At this stage the precision cold cannot get meaningfully better than hot. Even if I put 3 rounds through a single hole directly over the MPOI it could not improve the measured precision beyond the "hot" group. If you felt like measuring group size instead, cold is 19.4mm and hot is 20mm. The cold bore group isn't going to get any smaller.
So there isn't a functional difference identifiable between hot and cold for me here - including shooter inconsistency - so I can be very efficient with my zeroing and characterising precision - a 10 round group all at once tells me practically all I need to know.
Others should test this for themselves before drawing any conclusions for their systems.
There's a bit to unpick on shooter error I think.
It's a consistent part of the system and contributes to the overall precision capability of the system. If the shooter has significant errors that create significant "fliers", then a large enough sample of shots at a constant skill level will include these as part of the overall "cone of fire".
This is also the case when shooter error is much smaller but it's less of a significant cause of error. I don't think I'm anything other than a mediocre shooter in any way, especially off a flat range - but on a flat range prone with a bipod my results indicate that my shooter error must be at most less than .5moa or so over a 10 round group.
The trick is knowing the difference.
Ascribing performance that is actually simply poor precision of the rifle to shooter error (or other causes) with insufficient data is chronic, and can really damage confidence - the classic 3-shot group with 2 touching and 1 some distance away. Or 5-shot group with 4 & 1. It leads to no end of concern about "maybe I just can't shoot", however when a larger number of shots is plotted, the "flier" is just part of the precision of the system. It's more confidence inspiring, in my opinion, to have a truer idea of the precision capability of the system and be comfortable with that.
Of course, knowing if you have really poor shooter error requires actually shooting and analysing a good number of shots through a genuinely precise rifle, and those are quite hard to find.
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