Thanks for the detailed information. I think what I will do is load up charges 5-7 again and possibly go up to 51 gr see if things repeat. .5 is in reality good enough for what I do. But it was the shapes that confused me.3 shot groups usually work as well as 5 for me when looking for an accurate load to start tweaking . The reason most groups tend to open with 5 shots are from the shooter rushing them and not relaxing and taking the time to be consistent from shot to shot. As for variables such as ojives, neck tension, powder charge variances, etc, if small, these don't manifest themselves to be corrected at 100 yd ranges. Stretch it out to 200 -300 if possible and see if your minute of angles stay close to the same. Small variances in powder charges will start affecting accuracy as ranges increase. I can use a Lee dipper to dip powder in my 308 and get 1/2 inch groups at 100 yds all day, but when the range is extended to 200, they open up significantly from the variances in charge weights. If I carefully weigh the powder my groups stay consistent as range increases ( within my eye capability) After a certain distance loads don't matter for me because I can't see the target clearly enough to aim at the exact point each shot.
I have found that brass prep needs to be the same for a load to repeat. Everything from annealing to carbon in necks vs squeaky clean can drastically effect bullet tension.
Vertical strings usually mean velocity swings. Horzontal, with windage removed from the equation often means as the barrel heats it is making contact somewhere along the channel in the stock. Then there's the action screws.. It's not always about the load.
In short this is a very deep rabbit hole you and all of us have been down.
I can stretch the range as far as I like along as it is safe. I've got 40,000 acres of land to play with.