That is not correct in most cases, most cordless mice have a receiver that is plugged into the USB port, my bluetooth notebook mouse doesn't since it obviously connects via bluetooth but my cordless desktop mouse has a receiver that is plugged into an USB port and AFAIK most Logitech cordless mice do as well.
If one goes for bluetooth to not have to use an USB port, then obviously the PC/notebook will have to have bluetooth built in, not a problem with most notebooks but I'm not sure about desktops, might need a bluetooth dongle then, which is plugged into an USB port usually.
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