Automated manuals
Automated manuals were always kind of meh.
The mother of a friend had a Smart as a loner and she described it as if you were driving, but someone else was doing the shifting - but that person wasn't very good at it.
The DSG kick down thing is very interesting and highly situational.
So the DSG can very quickly shift from an odd to an even gear (or the other way around).
That's cause it just switches over clutches - which is done in fractions of a second including speed matching.
In that case there is no real feel to the gear change - since the clutches disengage and engage simultaneously so there is no moment where the motor is disconnected from the wheels.
The electronics also alter your gas input in that short moment to allow precise speed matching.
However, when you kick down, the sequence of operations is a bit different.
The electronics first check how much throttle you apply.
Then they decide which gear to select.
If the gear needed is in the same gear train as the one you are in, they shift down one gear first like they usually would.
That is rare though.
If the gear is in the other gear train - which is most common, usually 7th down to 4th - the electronics keep your throttle input from going through.
The system takes about half a second to shift that not engaged gear train from the pre-selected gear (6th, usually) to the needed gear (4th).
Then it lets your throttle input go through, starts to disengage the one clutch, let's the engine ramp up a bit and then engages the clutch for the new kick down gear.
There, speed matching isn't done as exactly.
Idea is you just want to get more torque as quickly as possible.
That way is the most time efficient.
Most DSGs have a "Sport" selection. That takes the normal shift rpms, ignores them, and always runs in the lowest gear possible (so only shifts once you are close to redline).
After the kick down, as long as you do not reduce throttle, it will behave as if you are in that mode - until you reduce throttle, then it starts to shift up through the gears like it usually would.
DSGs actually came from racing though.
Any F1 car has the equivalent of a dual clutch transmission.
Just that they aren't as automated.
Main advantage is that you can shift gears very quickly (F1 cars take less than a tenth of a second to shift) and that as long as the car is moving there is no point where there is no torque going to the wheels - there is always a gear engaged.