OP asked how resellers pull bullets without damaging them. That's the original post.
When military ammo was declared surplus, it used to be sold to scrap dealers to salvage the components which they were free to resell to offset the cost to the government of destroying the ammunition. The bullets were pulled, powder salvaged, and brass either scrapped or resold as were all the other components with the exception of large calilber rounds and explosive shells. Sadly surplus ammo is no longer broken down but all of it has to be burned or deep water dumped. What a shame.
In a large commercial operation, the ammo is broken down on automatic equipment. Kinetic pullers would take far too long, so collet pullers were generally used. Most of these would grasp the bullet, slightly drive it deeper into the case to break the waterproof seal in the neck, then pull the bullet out.
I'm not familiar with "air pulled" unless that might refer to a vacuum puller? Someone else will have to comment on that.
Personally I have purchased many thousands of pulled rifle bullets and reloaded them. They may have some slight damage to the bullet, possibly a nick in the jacket, but for my purposes they work just fine. I'm not striving for maximum accuracy with these bullets. Leet's just say "accuracy through volume" shall we?
I have never seen handgun bullets offered for surplus sale.
If you are wanting information on how to pull your own bullets without damage, I think that's already been covered ad nauseum.
YMMV.