Bullets, If you look them up in the dictionary or any reloading manual, are the copper clad or pure lead missiles that leave the cartridge case and travel down the barrel propelled by the gasses produced by the burning propellant, which, has been ignited by the primer that was struck by the firing pin in the bolt of your rifle. Collectively these four components: bullet, case, propellant, and primer, when assembled, form what is known as a round of ammunition, or better still; a cartridge, they are most definitely not bullets. You could say: "I'm seating the bullets in a batch of ammunition" or "I'm seating the bullets in a batch of cartridges".
I frequently hear this problematic terminology being repeated by 2 people I know who shoot centerfire rifles, both much older and more 'knowledgeable' than I, who insist on saying "bullet" whilst attempting to describe a complete round of ammunition. In fact, if corrected, they will heartedly argue their case as they believe this nonsense to be correct. I don't ever bother saying anything to them about it now, I can't see the point in arguing with someone.
Ignorance can be rather frustrating to observe, but, why bother attempting to educate people who don't want to know anything other than what they think to be true.
Kind regards, Olaf