That's just bad information.
ANY usb cable will be fine so long as it's male usb to micro usb. The thickness is irrelevant. What you need to be concerned with is that it's a 1000mA wall adapter, or it won't work. Many sites sell 500mA wall adapters, and it's not going to allow the phone to charge. Regardless, using a non-OEM cable is NOT going to damage your phone. They all do the same damn thing.