This must be a driver or firmware problem. The exact same USB3-HUB7-81X with the exact same items attached works with my older EliteBook 8460w. I am able to immediately disconnect from the EliteBook 9470m and plug into 8460w and everything works.
I have tried removing ALL attached devices, remove the power, then attach the power and then connect to my 9460w and nothing works (to keep simple test, I used just a USB keyboard).
If I then remove and plug into the 8460w, everything works.
On the 9460m, I went into ‘Computer Management’, then to ‘Device Manager’ and removed the ‘USB 3.0 Hub’ and the ‘USB 2.0 Hub’. If I then scan for hardware changes and it re-adds the device, i found that 3 of the 7 ports worked. Only ports 5,6,7 worked. However, if I restart the computer, nothing works again and I have to do the same task of removing the ‘USB 3.0 Hub’ and then ‘scan for hardware changes’ to get it to work again.