> The article is light on specifics but this stood out to me, most Tesla's take longer to charge. I'd imagine an aircraft would need more power than a Tesla, so how are they transferring energy so fast that automobiles can't do it but aircraft can?

If I had to guess the 5 to 7 minute figure is based on some theoretical magical battery that nobody can buy yet. Something with Wh/density much greater than the current best lithium ion (1000 to 1200Wh/kg vs 245Wh/kg) and capable of much higher C rates for charge and discharge. It's a mock up so they don't have to, or want to share any more detail than a optimistic time figure.