Whether the battery chargers were charging or not if that is all you have left to power up the aircraft you do not continue to fly for one hour and forty minutes. You look for a place to land quickly. You have no redundancy left at this point. YOU LAND ASAP.
NO Excuses..
What if there are no suitable airports nearby?
What if you are working the problem with the QRH and it leads you down the wrong path due to a mis-written QRH?
What if all indications are normal and lead you to believe you are NOT down to battery power only?
These are some of the decisions pilots have to sort through without just "panic landing" ASAP.
You see, 1AA, it is very easy to jump in and condemn the crew and monday morning quarterback without having been PRESENT ON THAT FLIGHT DECK. In fact, one of the most IDIOTIC things you can do with an airline incident/accident is to jump to conclusions without all the facts.
But I'm sure you already knew that.
The crew apparently did not realize they were down to a drained battery, due to a misleading QRH, until they started losing essential buses. At that point, they did indeed "land ASAP" and did one hell of a job considering the circumstances.
You obviously would have done a much better job.