In standard three phase motors, the (sum of) the stator magnetic field rotates while the rotor poles are N - S magnets that follow the rotating field, in lockstep for synchonous type, and with slip for induction type. I believe that is arranged attractive. Servo motors and ECM type simulate synchonous type but with PM permanent magnets at the rotor and more field poles (typically).
Why induction type this way, my guess would be jungle rules, most impressive brute force delivery at the lowest cost over the long term, other factors weighing less.
Now with EV;s, there's billions of dollars being spent annually just in engineering the next breakthrough battery, and probably some similar quantity spent trying to engineer the next breakthrough DC powered (probably ECM or Servo type field control). The motors are extremely high tech with PM magnets arranged Hallbach effect for magnetic field bending and other tricks.
The why would be for leading performance battery life in a higher torque less weight package, with marketing bragging rights 0 - 60 and 1/4 mile times. Tesla's early market target was for early adopters who would pay the price to beta test whatever they put on the market. They're selling high priced performance and are probably trying everything to lead and stay there. The million mile car is coming later, right now they're selling ludicrous 10 second performance time.
How they do that you would have to keep reading for.