The related context is that automatics can’t predict what gear you’re going to need before you need it. This leads to a lag that doesn’t exist with manuals that automatics compensate for by having oversized and overpowered engines.
This is most noticeable when overtaking or driving on twisty mountain roads. One way people work around it is by tapping the brakes as a signal to the transmission to shift down.
Another way to notice this weird behavior with automatics is to see how much noise american cars make when trying to take off fast from a stop light. Lots of noise thanks to wide open throttle, not much acceleration because the (cheap) gearbox keeps shifting up and reducing torque.
We've slowed nearly to a stop for the roundabout, entered it when it was clear, and now need to put on some speed to get going again at the speed of the other traffic.