Really, I'm surprised they work for starting a car at all.
20,000 mAh is 20 Ah. So, if the car is in decent shape and only takes 400A to start, that's 20/400 hour or .05 hour or 3 seconds. Doesn't seem like enough to start a car with a dead battery in the winter.
Let's check your math here.
20,000 mAh = 20 Ah ... Yes
20 Ah / 400 A = 0.05 h ... Yes
0.05 h = 3 s ...
No. It is 180 seconds (which conveniently works out to 3 minutes).
Of course, because of the way that batteries are measured, you cannot expect to get 180 seconds of cranking at 400A. As you increase the rate of draw from a battery, you decrease the capacity, so I would guess that 120 seconds of cranking is more reasonable for my new pack to draw it to the bottom (though 180 seconds consecutively would of course turn the pack into a fireball), or perhaps 90 seconds to maintain a reasonable safety reserve. That's plenty to do well over a dozen starts!
My wife's jump pack is 8000 mAh. With it charged to 4 out of 4 indicator leds lit (it doesn't have a display like my new one), I've done two jump starts off a low (but not dead) battery, and it still showed 4 lights. I figure you could get 6-8 starts out of this small pack safely.
Of course, Lithium Ion batteries lose a lot of capacity in the cold. If you keep this in your car, you may find that in the winter it may be suitable for no more than two starts, if even that.
As for the benchmark of 400A, well, I guess that's a fairly reasonable number. My Accord and my wife's Legacy require 0W20 synthetic oil, and probably use under 200A. I'll have to check them with my inrush reading DC clamp meter... My 4L Wrangler probably uses around 400A though.
The last time I checked, the megawatt class diesel generators at my work drew 375A inrush on starting, but that's on a 24V system (two huge batteries in series).