YES A humidistat cannot vary Air flow
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Telstra wrote:

All Air conditioners working at a Saturation temperature and pressure
below the Saturation temperature or dewpoint of the low pressure steam
in the air, Dehumidify. However, without Electric, Hot gas or Bypass air
Re-heat, control of temperature and humidity by a Humidistat-Themostat
combination is not possible.

No. Simply varying airflow can do it.

Nick