Close, but not exactly 100% correct.
Sitting at idle and in gear, the converter is not coupled. It's a terrible over-simplification, but if you set two electric fans face to face and turn one fan on, you will be able to spin the other fan blade with the air coming off the first fan's blades. As you crank up the speed on fan 1, it moves more air and will turn fan 2 a bit faster. Obviously, the magic in a converter is the design of the stator and the strength of the sprag. Window size and angle of the stator can make all the difference in the world in how the car runs.
In the same manner, at low engine RPM levels, the pump is not redirecting fluid efficiently enough for the turbine to overcome the weight of the car with its brakes set. As RPM comes up, the converter starts to fluid couple the pump and the turbine. As the turbine starts moving, then the car starts moving.
A converter's stall speed is the RPM the pump must be turning to create enough fluid flow to spin the turbine.
So an automatic trans car sitting stopped at a light has enough weight (motion resistance or resting inertia) to overcome the converter's fluid coupling ability. The converter is below its stall speed. As RPM increases, the pump begins moving more fluid through the stator onto the turbine, and when the turbine starts moving, the converter is no longer uncoupled.
The trick is sorting where the given engine's torque curve is, gear ratios and weight of the vehicle. You can end up with a really rotten combination where a converter will try coupling at a lower RPM than expected, if the motor doesn't make enough steam. All manner of evil can be covered up in a clutch car, but in an automatic car? The intake, heads, camshaft and converter are all joined at the hip. Roll the cam a couple degrees and suddenly the torque converter doesn't want to play well with others.
Anyone old enough to remember this car -
I bet most of you don't remember who drove the car. :down: For those who can, what was it about the torque converter in this car that made it such a giant killer? Bonus points if you can identify the individual that did the converter. Ohhh, the stories I could tell...
EDIT - Don't embarrass yourself by looking at the contingency decals on the car. There's a completely different story behind that.