HI,
This means that for each type of address you can have several addresses.
Basically, when turned off, it removes the "new" buttons to be able to create additional billing or shipping addresses.
And it's set to "For logged in users only" by default since for logged in users it makes sense to be able to have several addresses as they can come several times on the shop to purchase stuff and ship it to different addresses, while for guest users, they have to reenter their shipping/billing address each time they make a purchase so there is no point in entering several addresses for them.