I tested it: Non-Auto mode heats or (optionally) cools the car to the target temp within 1º (per its own sensor, however accurate that is).
If you want just airflow within a larger temp range, you have to keep counteracting it.
Auto mode takes control of the fan speed, A/C on/off, and vents, which takes away your best tool (A/C off) to get just airflow.
What's the point of Auto mode setting fan speed and vents? On what basis does it decide?
Have you not own any other cars with climate control? That's how they all work. In ICE cars, when you first start the car and it's cold outside and you have the temperature set to 74 for example, the car will keep the fan speeds at 1 or 2 and have the floor vents open (you don't want cold air blowing at you when you first start a cold car). When the car get warmer, the fan speeds will ramp up to near max (depending on how cold it is in the car) and the vents will move to floor and front vents. As the temperature gets to the set temperature, the fans ramp down to a moderate level and the vents go back to floor vents because hot air rises, no need to blow hot air in your face.
In the summer the auto climate control operates differently. When it is really hot in the car and you have the temperature set to 68 for example, the car will initially just go full blast on the front vents with the A/C on. It will drop the fan speeds as the interior cools down. After the set temperature is reached, the climate control system will keep the fan at a speed it thinks it needs to keep the car at your set temperature and the vents might go to mixed front and floor.
In both of those scenarios the auto climate control will turn on A/C or not based on humidity and temperature. The A/C can be turned on in the winter to keep the windows from fogging up. When you turn on the front window defrosters, the window vents will open, the A/C will turn on and the air coming out will be what you set the temperature to be.
If you at anytime take control of the vents or fan speeds or A/C, it goes in to semi auto where it still will control what you haven't manually changed but it might or might not reach your set temperature (however it will still try).
Now in my Tesla, I'm still trying to figure out it's algorithm for the climate control (every manufacture does thing slightly different).
This is why the auto climate control systems control everything, vents included.
Also the temperature you set it NOT the temperature of the air coming out. It is what you want the temperature you want the inside to be. On a hot day, when you first get in to a hot car, setting the temperature to 65 will not cool your car faster than if you have the temperature to 72.