[Shoney]

The case you show in the two pictures, appears to have been heavily corroded and then cleaned up. It is pitted and discolored. The parts of the brass that appear redish are where the tin has been leached or corroded out of the brass, making it brittle.

As has been stated, case mouths do not spit from tumbling. There are many factors and many more combinations of factors that cause premature splitting of brass. The two most common cause are:
Overworking the brass during reloading - i.e. over belling the mouth;
Hot loads;

As far as counting the number of times handgun brass has been fired, I only count the first two. My PD ammo is loaded only in once fired and twice fired cases, then the cases go into practice ammo. I do not count the number of times my handbun practice ammo brass has been loaded, just load them til they split.