For discussion's sake. Automatic 5-speed, automatic 6-speed, automatic 9-speed, CVT, DCT, 1-gear, it's all the same to me: automatic, not manual
While the number of gears in a particular type of transmission are, as you correctly point out, largely irrelevant, the
type of transmission absolutely is.
There is a world of difference between a traditional torque converter automatic with distinct gear ratios and a torque converter based CVT. And the gulf between anything with a torque converter and a DCT or single-speed transmission is even larger.
Torque converter automatics introduce inefficiency because the fluid coupling creates losses unless the lockup clutch is engaged, and even with driver control of shifting they cannot compete with the shift speeds of DCT gearboxes. The problem with automatics on a road course is that they do not always make the right shifting decisions. Sometimes it's faster to hold a lower or higher gear (e.g. hold the lower gear when a slight over-rev at the end of a straight is mechanically OK and you'd just have to shift down immediately for a corner or hold a higher gear when the corner is just on the edge of one gear and you'd just have to immediately upshift as soon as you started accelerating out) and even the best automatic shift programs don't get that right as consistently as a driver will.
Torque converter automatics also substantially reduce available engine braking, partially because the design typically uses sprag clutches and partially because a torque converter is only efficient in one direction of power transfer. This takes away one of the driver's options for controlling the vehicle.
That's why, historically, torque converter automatics have not been used in road course racing. They have been popular at dragstrips, however, because they are consistent, because very specific designs of torque converter can aid the car's launch, and because they allow the throttle to be wide open during a shift, which allows turbocharged cars to remain on full boost instead of having boost falloff between shifts.
The Tesla's single-speed transmission (really just a reduction drive) has none of those drawbacks. It is directly attached to the motor, so there's no torque converter slop, it has no additional ratios so there's no possible way for the internal logic to choose the wrong gear, and it preserves engine braking. The feel is infinitely different from a torque converter automatic. The Tesla transmission is really simply like having a traditional manual, but only ever using 2nd gear (which, since the electric motor can "rev" to 14,000 RPM, still gives you a top speed in excess of 120 mph).
And then there are DCTs. Which retain all the goodness of a traditional manual (driver's complete control over gear selection, no forced up/down shifts, no torque converter slop, and fully retained engine braking) while also providing the option of a computer-controlled mode, which must be specifically chosen by the driver, where a computer manages the shifting. When in manual mode, there's not a lick of difference in the amount of control the driver has over the car compared to a traditional manual.
There are big differences between how these transmissions all work and to lump them all together generically as "automatics" is like saying that sports cars are pointless because a
Dodge Grand Caravan "Sport" isn't very much fun to drive. The things you're lumping together just aren't even remotely the same.
ZV