Tethered or untethered home charger?

Home car chargers an come in two styles: tethered or untethered.
What is the difference between tethered and untethered?
An untethered charge has one or more sockets and no cables attached.
A tethered charge point has an EV cable permanently connected.

The main advantages of a tethered EV charger are that you don’t need to get the charger cable from your car boot time you want to charge.
The main downside is that some people find the tethered cable can be unsightly on the side of your house.