Hi John,
In case you and your wife still have the Audi A1 1.0 S-Tronic, you may be interested to know that I have had very similar experiences.
My previous car was a 1999 Opel Astra 1.4 petrol torque converter automatic - with generally smooth, predictable gearbox behaviour (I had it for almost 18 years). It was starting to need more and more work; I replaced it with a 2015 Audi A1 1.0 S-Tronic in August this year. While getting used to the car, I began to realise that it was not as smooth or predictable as what I was used to: hesitation when starting off from a standstill (it may be only a second or two delay, but when expecting the car to move, it seems like a long time) and it tends to be a bit jerky at low speeds. So one needs patience and skill in order to achieve a smooth drive.
On the open road, the car is great. However most of my usage is around town. I have to acknowledge that it has been a learning experience: while I knew that DSG was different technology to torque converter, I was not expecting such a big change. I was a bit naïve in expecting it would be a similar experience to the Astra. Next time I change car, I will be doing more research and a longer test drive!!
If you still have the car, I would be interested to know how you have been getting on since your post above.
Kind regards,
James