The inability to do a rolling start in an automatic really bugs me after being used to manuals my whole life.
I switched to an auto a few years back for reasons (UK, still not super popular here), and once or twice I've had the car cut out on me at speed, in traffic; had it been a manual, I could have just restarted it while moving, but it forces you to be stopped, foot on the brake and in park before you can push the button to start it.
If it cuts out at speed you have a problem that needs to be fixed that has nothing to do with the type of transmission.