Well, the way I interpret it, it would technically make it a "Heartless World." And I imagine that having a strong enough "World Heart" to cobble its scraps together to form a new world is sort of analogous to a person having such a strong heart that their Heartless retains a human/their original form.
And when a heart is that strong, it generates a Nobody at the same time, which is why I wonder what the deal is with The World That Never Was, and why it seems to share some aesthetic with Traverse Town.
Traverse Town's Fifth District and Back Streets remind me a lot of TWTNW's Memory's Skyscraper and Dark City.
Traverse Town got its own keyhole in KH1, though, so it could go in a lot of different directions. Maybe Traverse Town *is* the Nobody and the keyhole was similar to the regrowing of a heart that Nobody's were confirmed to be capable of as of DDD.
Nobodies require a strong will to exist. I don't thing worlds have that.
----
NEW HEADCANON.