TUSB4041I: Can 4 downstream port share a single power switch?

Hi,

My customer is designing TUSB4041I 4 port Hub. Considering the 4 downstream port will not be used for battery charging. I wandered if the 4 port can share a single power switch? Say, connecting all 4 VBUS to the output of a single channel power switch (such as TPS2065D), wire 'OR-ed' 4 PWRCTL1~4 signals from TUSB4041I together to enable the power switch. If this kind of design is feasible?

Thank you,

John