The motor and drive train basically became available for automotive use only in 1990ies. So it is a recent tech for automotive. Nikola Tesla did make a two phase AC motor a long time ago but could not "steer" it in a fashion required for automotive use. In about 1985 a Yugoslav inventor made the first inverter (frequency converter) for AC motors for industrial use and in 1989 for
cars also. Up to that point, AC drives were not an option for cars. FIAT, Mercedes, Think, etc..
jumped on board, as the drive trains were no longer an issue since. Imagine a 500 mile affordable battery today. That is about what kind of a breakthrough that was. Because of that, today only batteries are considered the narrow throat. EV1 was the firs production car using his motors and
building on those. Some EV1 people then went to AC propulsion and used the knowledge and software for Tesla's drive train. Also for Mini E, etc..
AC drive trains are excellent in terms of efficiency, durability and in general. While they reach slightly lower peak efficiency than permanent magnet (rare earhts-expensive) motors, the actual efficiency, across actual operating range is typically better.
They have only one physical contact point in the bearing. Unlike permanent magnet motors, they will not be rendered useless if reaching over 150-160C temperatures, which demagnetize permanent magnets (expensive).
Tesla, Fisker, MB, FORD, GM with EV1 and Volt,.. etc opted for AC drive trains.
For full EV's they are simply the best option. Tesla may be doing something wrong with the
rotor winding, which is likely the culprit for the humming and other noise issues with some
cars. If done correctly, AC drive trains will last several times the lifetime of a car.
It is also one of the reasons mainstream car manufacturers were not fans of electric cars.
Hard to make money with the existing business model, relying on afterservice. Kind of like
trying to take away revenue from printing cartridges from printer manufacturers, which make
losses on printers and make money off cartridges. Or gaming consoles, which take a loss on
the hardware but bring in the $ on games...