I agree 100% with what AZShooter said. .013/.014 is definitely not too thin for case necks, but the dimensions of the neck in your chamber is also an important factor.
Just for the knowledge you should measure the neck diameter on a fired brass and you'll quickly know the diameter of the neck in your chamber, and then of course how much your case necks will be expanding each time your fire a bullet.
And I really like AZShooters idea of segregating the brass to see if the "overturned" brass necks crack sooner as you continue to fire/reload. That's a great experiment. and you could also compare to see if you have any noticeable accuracy difference between the two batches of brass... and please reply back with results!