Straight wall pistol cases can be reloaded many many time. Especially when light loads are used. I have .45 acp cases loaded well over 20X. I usually lose them before they wear out. If anything, I look for cracked necks on pistol cases.
Rifle, bottle neck cases, if you use good quality brass maybe 5X reloaded in a spacious factory chamber and no annealing. Without annealing the necks, they tend to crack fairly quickly, due to the sizing and firing work hardening the brass.
If one has a tight match chamber, neck annealing, minimal sizing, and good brass like Lapua, you can reload them many many times as well. I have .308 brass I have reloaded maybe 15X and no sign of failure noted. I also had a 6mmBR brass that I loaded over 20X before necks started failing.
Just make sure to inspect brass, and dump any that are questionable.
Hope that helps. Stay safe and happy reloading!