I have a couple of those lithium jump packs, but I'm not fully convinced of their reliability. Sometimes they seem to work great, and sometimes they don't. So far in my experience, when they work they're great, but they're not as reliable as the old style jump boxes I've used for many years. The few times I've used they lithium jump packs, the first time it worked fine, the second time it wouldn't turn over a weak battery (pack was fully charged). I've switched between the two I have and seems like sometimes one of them would work, then the other, but it was never as simple as just hooking it up and go. Oftentimes the pack would shutoff during the jumpstarting attempt and need to be reset by plugging it into a wall charger (it was not discharged, but won't turn on)
Just last weekend I tried using it to jumpstart a jeep that's been sitting for a few months. It was working great and I was able to try cranking it about 10-12 times, but the problem was the set of mini jumper cables that come with them have some sort of "protection" circuit that melted after multiple attempts. I have a feeling that circuit is the cause of the issues I'm seeing so I'm thinking of just bypassing it completely with some heavy gauge wire.
I still carry a cheap set of jumper cables in my car because they're pretty much fool proof, nothing to break, nothing to discharge. I have a few sets of extra heavy duty jumper cables that sit in my garage, because of the fact that they're so heavy. The cheap ones may take a little longer to jumpstart a car but in a pinch they work fine.