I am still not sure of the answer myself.
From the handbook
Switch, Isolating. A switch intended for isolating an electric circuit from the source of power. It has no interrupting rating, and it is intended to be operated only after the circuit has been opened by some other means.
I will assume the switch in the picture controls something that would be considered an appliance.
III. Disconnecting Means
A means shall be provided to disconnect each appliance from all ungrounded conductors in accordance with the following sections of Part III. If an appliance is supplied by more than one source, the disconnecting means shall be grouped and identified.
Disconnecting Means. A device, or group of devices, or other means by which the conductors of a circuit can be disconnected from their source of supply.
I can not find a requirement that the disconnect for an appliance must be able to break the circuit with a load.
430.110 seems to require a disconnect for a motor rated to break with a load.