Thanks for the share!
Yeah that's a Capacitor (surface mount) number C30 on the PCB.
its rare that these caps let go unless the is an initial design fault.
Can you comment if it fixed the power problem?
sounds like the power problem could be related to the power coming from the USB supply.
some computers USB driver chip can supply 1.8A of current while other can supply 5A of current, depends on how old the computer or laptop is.
Also I have had problems with other USB devices which have long cables (3m) or longer. the issue was that the conducting wires inside of the cables is very thin and poor quality. this cause inductance in the cable and will disconnect or cut out the power going to the device.
I would recommend to try other laptops or computer and also shorter or better quality USB cable if you are still having problems
Another trick is to run the USB cable going to the VCM through a USB hub which has an external plug pack which can inject more 5V power into the USB
If the Chinese copy the VCM2 circuit incorrectly which demands more power than the USB can supply you will get a power cutting out fault as you have described.
The capacitor that they have supplied you could be a different value capacitor that the one you have removed, (test the capacitance with a multimeter) hence they are trying to correct the power supply issues on the PCB to draw less USB power.