dnd 5e – Can contact with Green Slime destroy worn or carried items?

The Green Slime hazard (DMG p. 105) can cause damage to equipment and items:

This acidic slime devours flesh , organic material, and metal on contact. Bright green, wet, and sticky, it clings to walls, floors, and ceilings in patches. (…)

A creature that comes into contact with green slime takes 5 (1d10) acid damage. The creature takes the damage again at the start of each of its turns until the slime is scraped off or destroyed.

Against wood or metal, green slime deals 11 (2d10) acid damage each round, and any nonmagical wood or metal weapon or tool used to scrape off the slime is effectively destroyed.

Sunlight, any effect that cures disease, and any effect that deals cold, fire, or radiant damage destroys a patch of green slime.

It’s not clear to me if the damage to wood or metal is also meant to apply to worn or carried items. If a Paladin falls into a patch of Green Slime, are they risking their weapons, armor, and other items or are those items safe unless they are used to scrape off the slime?