The rifle chamber is too long so the brass is stretched every time it is fired. Then in the sizing die, it is smashed down short again and the material flows into the neck and gets trimmed off. This results in the base wall getting thinner and thinner as you have seen. You can resolve the problem by changing the depth to which you run the full length die so that the shoulder is only bumped back 1 or 2 thousandths instead of the current 10 or more with every re-sizing.
I neck size my brass in a collet die and do no full length sizing and after perhaps 3-4 firings I may need to run it in a body sizing die (does not size the neck) until it can be chambered comfortably again, it will tend to get tighter and tighter to chamber as the cartridge tends to a "perfect" fit in the chamber, not allowing for any concentricity issues or the slightest bit of contamination...
The reasons why most rifles have a "generous " headspace clearance is to accommodate people who never reload and exclusively buy factory ammo which can have a lot of tolerance on the length. All this ammo needs to chamber reliably, but it is fired only once. For the most extreme case, imagine belted ammo for a machine gun. The weapon can chew through thousands of rounds and reliability is what is important, the state of the brass after firing is irrelevant so long as the cases do not separate. If you reload exclusively and only shoot the ammo in 1 chamber, you can run a much closer fit of the cartridge to the chamber than what is based on cartridge standards, so long as it runs reliably for you.
Things like seating the bullets far out and jamming them into the rifling when chambering may theoretically sound great unless you hunt and have to unload a chambered round and end up with the bullet stuck in the throat, powder all over the inside of the action and be messing around with a cleaning rod trying to push the bullet out while not damaging the lapped bore.... If you don't notice that you left the bullet stuck, that could of course result in a very bad day indeed if you chamber another behind it (assuming you are successful) and set it off.... I haven't done it, but I have come close till I figured out what was going on.... Needless to say I don't do that anymore...