Nope, it's a dual clutch transmission. Think of it a bit like two manual gearboxes bolted together with an electronically actuated clutch on each to select the relevant gear.
In general the arrangement is one shaft has R, 2, 4, 6 and the other has 1, 3, 5 and maybe 7.
The gearbox computer preselects the next gear when you are accelerating. For instance in gear 3, the actuators have selected 4 on the 1st shaft, so all that happens when it changes gear is the next clutch actuates instead. This also works for downshifting. You might be cruising in 6th (top gear on my car), in which case 3rd is preloaded on the alternate shaft, and if you gun the go pedal it will jump straight to 3rd.
The DCT can shift faster than even a trained manual driver and on the hybrid models the gear RPM matching is done with the electric motor to further speed up the change.
I can't see why you'd want to slip the clutch in snow and ice. If you need less torque you can force the car into 2 or 3 and then just press the go pedal less. I found electric only operation to have the best performance here as the traction control can modulate the torque more quickly and over a wider range. Obviously not all vehicles have that but the car can modulate the clutches just like any other manual, it does that when you're parking at low speeds if the engine is running.
Yes I'm familiar with the DSG, I've driven a VW that had one. Most of the manually shifted automatics I've driven have been of the conventional type or worse, a CVT. At least the DSG is nice and crisp.
I suspect you've never driven a manual in snow and ice or it would be very obvious why I'd want one. One specific trick I've used quite a few times is when I find myself unable to get over a hump like the snow that has built up in front of my stopped car, or the hump of a curb to get into a driveway is to ride and pulse the clutch such that the car rocks forward and back, the rocking motion gets larger and larger until there is enough movement to crest the hump and then you're off, I'm not aware of any way to do this in an automatic. Another big advantage is in a situation where engine braking causes the wheels to slip and slide, if you push in the clutch the drivetrain is instantly disconnected and the car will straighten right out. This works on wet roads too if the rear end starts to slide out, at least on RWD cars.
I've driven everything, manual, automatic, automatic with lockup torque converter, DSG, CVT, RWD, FWD, AWD, gasoline, diesel, hybrid, several EVs, and everything from subcompact to large commercial trucks, antique to modern and for all of the ICE options the plain manual is far superior to me.