Like Nick said, mAh are not a unit of energy without knowing voltage. Most rechargeable batteries have 3.6 to 3.85 volts measured inside devices. Multiply mAh by 3.7 then divide by 1,000 to roughly get Watt-hours (Wh).
Battery packs should have Wh labels in order to pass through TSA. Finding mAh or Wh for other devices is hard.
But knowing Watt-hours at hidden battery terminals doesn’t include energy losses going from one battery to another. That waste could be as high as 30%, but measurements are rare.
This diagram shows the major energy losses using a battery pack to recharge another device:

Can’t do much about voltage conversion losses: 3.7 V to 5 V USB back to 3.7 V. Long, skinny, damaged USB cables lose a lot more energy than short, fat, healthy cables. Another area with very little testing. Short Anker cables seem like a good bet.
That wasted energy turns into heat. A battery pack or smartphone gets warmer while recharging. Cheap or damaged USB cables get warm, too.
— Rex

