I can’t really give a blanket statement to cover all instances, but I’ve personally never pulled someone over for KNOWING they have a warrant. Usually I’ve ran someone’s information after a traffic stop, and then if they’ve come back with a warrant, I determine what the best course of action would be. For just a warrant, Ive never had someone at gunpoint. I’ve also typically not told them they had a warrant until I’d had them
step out of the vehicle and removed them from whatever may be in the vehicle with them, and removed the possibility of them suddenly driving off.
With firearms it’s a little different, especially depending on the call and what information you have. I’ve had times I’ve drawn my weapon out, and times I’ve talked to them and removed the firearm from their person or the vehicle and handled it at a lower level. The biggest determination of how things go usually is the compliance of who you’re dealing with. If someone knows they have a warrant, or they know they have a firearm, they’re sometimes less likely to just go with the program and follow instructions. The last person I had that was called in for brandishing a firearm, I contacted him at his window and told him why he was stopped. He said it was bullshit and I said maybe so, but based on the information we had (description of him down to his sunglasses, description of the vehicle down to the number stickers, and a description of the firearm), I had to do my due diligence and search his vehicle. He said he didn’t consent, I told him in this case it was irrelevant, and we could wait for a supervisor if he preferred, but that either way I was gonna be taking a look. He then relented and advised me he had a firearm in a holster on his left side under his sweatshirt. Hands on the steering wheel, don’t reach for it etc, and we went from there. If I was making the stop and he took off, or began being aggressive, or jumping out of the vehicle, or didn’t listen to commands, then I’d have had to change my course of action and justify why I did that. That’s also why it’s hard to determine why officers took certain actions in small video clips. Based on the stop made, it certainly appears that they went overboard with the force used, I’m just filling in the blanks without trying to justify their actions.