Your seating is very rough.
You can tell by the rings on the bullet that your seater is pushing as a ring on the bullet, and it needs a lot of force.... If thould be pressing on the ogive of the bullet with a shoulder-like grip... think the shoulder on your cartridge but on the bullet- as opposed to pushing a steel straw on the top of the ogive.
For long range accuracy loading, you should be fully supported against the ogive on seating- not a ring or a simple meplat pusher. It deforms the bullet, and can cause non-concetric seating.... which causes a lot of jacket deformation.
That force ring is probably showing up because you are etching your jacket against the case mouth either non-concentrically, or some other mishap... and its causing you to shave copper.
How much will this affect accuracy under 500 yards?
Depends, but I'd doubt anywhere near as much as the loose nut behind the trigger will. Psychologically you've probably made them into watermelon plunkers at best.
In reality, only trigger time will tell, but obviously they would be less accurate than a masterfully seated bullet.
You'll get there, lol- its not the end of the world.
What kind of seater are you using.
If it comes in a red box, it will answer a lot of questions.