In think that’s the flappy paddle Jazz. You can drive it so it auto shifts smoothly with no jumps. Or you can use the paddle to jump between defined ratios.
But mine definitely seems to have actual gears and no paddles
Main issue with 'cheap' autos is the gearbox, if your cheap 3k auto box goes its gunna be 2k to fix, and they are plenty of weak auto boxes about ie ford powershift, but this is similar with paying 2/3k for something where the dmf/clutch is a £1200 job.
That being said im a bargain basement auto man these days as its just so much nicer in traffic.
Current car is a automatic 2008 w204 c class estate which cost me £1100 about 10 months ago, ive spent a couple of hundred and fixed a few suspension bits myself (do all my own work) and one £10 sensor which i new about when buying. ive done nearly 12k miles in it and its been spot on. Heated leather, cruise control, mint aircon etc ect, 49mpg over that 12k miles. Cant go wrong really.