
Freezing temps are brutal for both your car battery and a lithium jump pack. Peak amps on the box are a momentary spike and not the same as cranking amps or CCA. A 3.5 liter V6 that is cold soaked can need something in the ballpark of 600 to 800 CCA from the car battery. Many 1000 amp packs only deliver two to four hundred amps for a few seconds when warm and much less when cold, so your pack may simply be outgunned in that situation or it is being limited by safety circuits if the battery voltage collapses. That means you did not necessarily buy the wrong thing, but the numbers on the label do not line up with what the engine needs in deep cold.
Try to stack the deck in your favor before cranking. Warm the jump pack indoors or in your coat for ten minutes and keep the car battery as warm as you can. Clamp directly to clean battery posts or the factory jump posts and put the negative on a solid engine or chassis ground. Turn off blower lights and heated stuff. Connect the pack and let it sit for one to three minutes to push a little charge into the battery, then crank in three to five second bursts with a minute between tries. If your pack has a manual override for very low batteries use it. If it only clicks move the negative clamp to a different ground and try again. In very cold weather turning the headlights on for thirty seconds then off can warm the battery slightly. If it is an automatic try cranking in neutral. If the battery might be frozen or the case looks swollen do not attempt to jump it.
To sort out whether the pack or the car battery is the problem do a couple checks once you get it running or after a wall charge. After charging fully a healthy battery should sit around 12.6 and not drop below about 12.2 overnight. If it will not hold that or if it is five years old or more it is likely the main culprit. Signs the jump pack is fading include going from empty to full unusually fast, shutting down the moment you hit the key, getting hot under load, swelling, or losing most of its charge just sitting for a week. Store the pack at room temp, top it off every month or two, and do not leave it in a freezing trunk. If you still want to match ratings better for winter focus on sustained cranking amps and capacity in watt hours rather than only a big peak number, and aim for something that can deliver a few hundred amps for several seconds and has enough capacity to pre charge a dead battery.