There are different versions of the DSG gearbox, to suit different engine power outputs. The 1.5 (and 1.0) petrol use a 7 speed dry clutch version (DQ200). We have a 2015 1.2 TSI Fabia ( 8 years) with the 7 speed dry clutch, a 2023 2.0 TSI Karoq with 7 speed wet clutch (DQ381) which replaced a 2013 2.0 TDI Touran with the 6 speed wet clutch (DQ250) (11 years and 108,000 miles) - still drove as smoothly as when it was new,
There are differences in how they behave, predominantly in the way they move off from rest. TDI engines have torque at low revs, in my experience this allows the DSG to engage a clutch without the driver pressing the accelerator, this aids a smooth pull away from rest. The 2.0 TSI has the 7 speed wet clutch DSG and this has sufficient torque at low revs to move off, on level roads, without pressing the accelerator. In other words they will 'creep' like a torque convertor automatic. As others have said the DQ200 7 speed does not engage the clutches so readily at low revs, it does not creep so readily, which may be the reason why getting out of junctions quickly can be difficult sometimes. The footbrake has sensors on it which the DSG software uses to determine what to do. With the footbrake pressed firmly the clutches disengage, stop/start will stop the engine, moving ones foot quickly from footbrake to accelerator will generally lead to the car leaping forward after a delay while the engine is restarted, a gear is engaged (very often 2nd) and the clutches engage, pressing the accelerator further causes the DSG to select first gear before pulling away rapidly. Footbrake pressure can be used to control what the DSG does; Firm press will stop the car, disengage the clutches and stop the engine (if S/S active), reducing the pressure slightly (on the Fabia and Karoq) restarts the engine,, reducing the pressure further causes the clutches to engage (revs drop slightly). Releasing the footbrake then usually results in the car starting to creep, once moving pressing the accelerator as normal. Basically its using footbrake pedal pressure to control what a clutch pedal would on a manual. Thois might sound complicated but it becomes second nature.
Hill Hold assist also comes into play. The Fabia does not have Hill Hold so requires accelerator pressure sometimes to pull away on a slope. The Karoq does have HillHold, this has the effect of delaying the release of the brakes when pressure is removed from the footbrake pedal which prevents rolling back.
I would advise going for as long a test drive as possible , I don't think you will have any issues with DSG in most driving situations but perform parking maneuvers, reversing especially, stopping and starting on slopes. DSGs all have Sport mode and the ability to manually select gears. I tend to use Sport mode in the Fabia because I fell it creeps more readily and pulls away easier. Although the Karoq has paddle shifters I don'trealy use them and don't use manual mode.
FInally a really clever thing with the DSG is the way it uses cruise control. Once cruise control is active the DSG will select whatever gears, higher or lower, it needs to maintain the set speed, and you won't even feel the changes.