I've shot thousands of pulled bullets. Mostly FMJ.
Back in the day, it was possible to pick up pulled 6.5x156, 30x150x200x220, 7.65 and 7.7x154-220, 8mm from 150-220 and even 50x350. There were pulled bullets and surplus powder from just about everything pre WWII, right into the eighties.
I still have several hundred 156 grn, cupro/nickel jacketed 6.5, a couple thousand 7.7 x174, pulled from 303Brit, some 8x190 round nose and more than a few others.
Some of these bullets were picked up by the pound and were about a penny each. All of them have either crimp rings or dents from that type of crimper visible.
They all shoot very well, or at least as well as they were intended to. The specs during wartime were quite generous.
It's a pretty common practice today for shooters to pull the bullets and reuse the powder from 7.62x39 and 7.62x54R to load cheap plinking rounds in different cases.
If you're pulling premium bullets, which I've done, I really haven't noticed any difference.
If you're pulling the bullets with a pair of pliers or clamping the bullets in a vice and working them loose, expect fliers as mentioned.
There are a couple of good types of bullet pullers to use, Inertia types (hammer) are the cheapest and if you place something on the bottom, don't damage the tips and save the powder. You should have a solid, hard surface, without give to use as a strike base.
The next type, are collet pullers and much more expensive. These can be clamped to tight on the bullets and may, but not likely cause some blemishes. The problem with this type is that often there isn't a flat surface to clamp onto, especially on some of the ELDs with very long ogives.
I use the inertia puller when I don't have more than 50 bullets to pull and the collet puller mounted in my press, when I have a lot of bullets to pull.