"You sit on a chair."
No. The verb ba' (and the English word sit) doesn't take an object. You don't sit something; you sit ON something. The chair is not the receiver of the action; most uses of the verb sit or ba' don't have any object at all.
The quSDaq is the LOCATION of the action, not the receiver. Locations usually get marked with -Daq and go before the OVS structure.