Correct. An electric motor can output its full amount of torque from 0 RPMs; this is where an ICE falls down (and hence, the need for an expensive transmission).

Indeed if there's one thing electric motors in general do very well, it's to produce lots of torque at a much wider range of speed than an ICE.

The Tesla probably also didn't have to shift. You can hear the Aston had to shift at least once.

Ah I see; that makes sense. I don't know much about mechanics. I just like pretty cars.