Does the Zealot Barbarian’s Divine Fury apply multiple times if you focus the same target?

The Path of the Zealot barbarian (Xanathar’s Guide to Everything, p. 11) gets the Divine Fury feature at level 3, which states:

At 3rd level, while you’re raging, the first creature you hit on each of your turns with a weapon attack takes extra damage equal to 1d6 + half your barbarian level. The extra damage is necrotic or radiant; you choose the type of damage when you gain this feature.

The RAI intent seems as though it should be the first successful hit to a creature on your turn deals an additional 1d6 damage, but it doesn’t seem as explicit as Sneak Attack, which states that it only happens once per turn.

Does Divine Fury truly work the same way as the rogue’s Sneak Attack, or can you proc Divine Fury multiple times if you focus fire?