It'll either impact the bolt carrier, or the Firing pin retaining pin.
If its the former, its not going to affect much, and will take a long time to show any issues. I usually replace firing pins due to tip cratering every 3-4k, so I doubt it'll wear out from dry firing.
If it impacts the firing pin retaining pin, you'll know it pretty fast, as the FPRP will get bent. Still functional, just more entertaining trying to get back together.
If you're absolutely paanoid about it, get one of these.