The kinetic/inertia puller works well for straight wall pistol and rifle bullets, but bottle neck caartridges really need the Hornady collet style...
If your insert die body is properly installed/adjusted, you won't have damage to the bullet..If not, it's easy to apply too much pressure to the jaws of the collet and leave a slight ring around the bullet,..
I've re-used them with no negative results, they just tend to look weird..