Hesitancy comes into it whenever you stamp on the accelerator! Cruise along at a steady speed then stamp on it because you want a sudden burst of acceleration and there's a second or so of delay whilst the box works out what the hell to do. You also get the same problem trying to pull away sharply from a standstill at junctions.
Once you're pressing on the changes are perfectly smooth yes but that's not the issue. I'd had a very brief potter about in a DSG car a while ago and was sure I wanted it for my next one as I loved the convenience, the smoothness of the changes and the fun of the paddles but I made a point of booking a couple of hours in one to give it a proper test and at the end of it I was positive I didn't want it any more.
The problem is that, no matter how clever the electronics are, they can't read your mind. If you're cruising along and want to gun it for an overtake then you know what you're about to do and can make a decision on whether to shift down or not and, if you do, make the change ahead of time so you're in the right gear and ready to go. The DSG box can't do this and so has to react to your stamp on the pedal. Even given that it has to react you'd think it'd be able to use it's lightning changes to shift down the second you hit the accelerator and then take off instantly but it doesn't. It ponders for a half second or so before shifting down for a second then shifting straight back up again as the revs rise quickly. Found it all a bit of a mess tbh.
The pulling out of junctions thing is even more of a pain. The problem here is that, in a manual, you can raise the revs and then drop the clutch to go instantly but you can't do this with DSG. When you stamp on it the revs have to be allowed to rise for a half second before it releases the clutch. I suppose this is what launch control was supposed to circumvent but it's a lot of palaver to use and apparently doesn't even exist on the diesels.
Don't get me wrong, DSG is better than a standard auto in many ways, with the ultra smooth changes but it still has the big hesitancy issues that plague all autos and I was just expecting more.