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Switch, as expected, in case of Vcc = 0 going into high impedance. If voltage present at digital inputs - no worry, seems like there is no ESD diodes at all, or ESD protection is disconected somehow and doesn't interfere .
So, A and B both have no connection to COM.
I also bought ts5a3153 to play with, switch is very similar to 23159 but single and has EN-able pin. Case Vcc = 0 is the same as deactivate EN pin - everything become disconnected, inputs, outputs and logic control input.