It says
I'll translate the marketspeak to real english (

)
"The power adapter is not neccessary,
Sometimes if you plug a USB device in without the hub's power adapter plugged in, it'll work. (And if it's only one device at a time, it's closer to "usually".)
the hub offer offers 500mA stream without,
The hub gets 500mA from the computer through the USB cable, which can be used by the USB devices.
Of course the hub is a USB device so is allocated 100mA, but uses less. The hub (probably) cheats around the standards, and try to hook up more than the number of devices it should by saying it can allocate more than it can, and prays that most devices don't use all they are (falsely) allocated.
and with power adapter it offers up to 2000mA stream,
The wall wart says "Output: 5 volts, 2 Amps" on it. The max USB standard power per port is still 500mA, and you still can't hook up more than four 500mA USB devices to the hub (4 x 500 = 2000).
supports to connect with large power hardwares
Supports the max allowed, 500 mA, USB devices, which would be impossible without the wall wart.
Expand your existing USB port to 7 easily"
If you use this hub and try to plug 7 USB devices into at the same time, it might work. Can say this 'cause it happened at least once in the labs. (Okay, more often than that

, but no guarantee that all cases of any combinations of all USB devices will work.)
Anyone know the power requirements for GGG trackball, TT2 spinner.
TT2 spinner is allocated 100mA on my computer, but I'm sure it actually uses less than that. But the standard minimum is 100mA. Don't have the TB to test, sorry, but I'd guess 100mA, but not sure about with the color lights.
I think to be on the safe side I will run the led-wiz of a regulated 5v supply from the computer psu.
Good call.
(In case you couldn't tell, I am very um, skeptic, about USB power. OTOH, devices may have greatly improved from when I ran into my problems, though there still are the laws of electronics that have to be followed.)