Interesting. I can see people who use RC devices as a good market for this.
I wonder if its the special fast charging version of the battery though as mentioned in the article. The 6 minute charge is for an "untreated sample" of Lithium Iron Phosphate and the 20 second charge is for whatever they did extra that makes it capable of fast charging.
Ouch, you'd need a big charger and a damn thick cable....
5.25Wh in 6 minutes = 52.5 watts (without charger losses), over 10A current at 5V, so that'd be looking like a (UK) electric kettle's cable....
5.25Wh in 20 seconds = 945 watts, again without charger losses, or 189A current at 5V. Bus-bars? Welder?

Yeah, you can drop the amps by putting a switchmode charger in the device itself, but then you'll end up with having to put a whole AC brick in there along with the size and mandatory insulation gaps required for high voltage....