Just as a ship is a big boat, cable used to mean thick wire.
Computer people have affected telephone vocabulary, and now "cable" seems be be synonymous with "wire," and might eventually replace it.
The name of the British long-distance company, Cable & Wireless, Ltd. comes from the undersea cables that run around the world, and "wireless," the Brit term for radio. Cable & Wireless installed the first telegraph cable between the US and Britain, and tied the British Empire together.
Some cellphone service providers, such as AT&T and Verizon, refer to their services as wireless. That's silly. Some makers of cordless phones call them wireless phones. That's silly, too.
Cordless phones and wireless phones use lots of wires. Just try charging yours without a wire.
"Wireless Cable" refers to cable-like TV programming sent over-the-air to an antenna on your roof or in your attic. It is NOT satellite TV. Multipoint Multichannel Distribution Service (MMDS) is the technical term for it. Operators broadcast multiple channels of television at microwave frequencies from an antenna located on a tower, tall building, or mountain.
Wire running from the phone company to your place is called the local loop.
The pieces of wire running from a jack to a phone base, and from the base to a handset, are cords.
Wires connecting jacks in patch panels can be called either patch cords or