The datasheet is as inaccurate as the sensor itself and it is even worse than you think!
In that datasheet is also written: "usually require an external about 5.1kΩ pull-up resistor".
In the datasheet is also mentioned that the output signal can go up to 8 mA for a high output and minimal 10 µA low output. The 10 µA means that the pullup resistor should be 500k or more. That is not correct.
In this datasheet is a picture with 1k.
In this Chinese datasheet is a picture with 5k.
I ran that Chinese datasheet through Google Translate, but that did not help.
Conclusion: The datasheet is not reliable.
You can do as everyone else: use a 10k resistor for short wires, and try 4k7 for longer wires.
That is not the only problem. Some DHT libraries create a shortcut on the data signal.
The AM3202 is not accurate for measuring the humidity. If you want to avoid trouble, then use a better sensor.
A sensor from Bosch is a good choice (for example the BME280 or BME680). Bosch makes datasheets that are reliable. Those sensors from Bosch operate at 3.3V, if you are going to connect that to a 5V Arduino board, then you need level shifters for the signals.