Funny I always thought the bullet tip was what guided the bullet through the air and any damage there would upset the bullet and cause lack of accuracy.
Perhaps I missed the joke?
There was a bullet damage test done in one of my hundred or so gun magazines.
They took a rifle round, I believe it was an '06, and ground the bullet to a 45 deg. angle at the tip - the pics looked like took off about 1/4" total.
More severe damage than ANY puller, whether inertia of collet, would do.
The bullets shot just fine and grouped just like their unaltered brethren. IIRC, the range was 100 or 200 yards. The only way they could get the bullets to do something weird was to load one backwards.
(with a reduced powder charge due to the full diameter of the bullet hitting the rifling all at once.)
That one tumbled but still hit the target.