(Su) healing abilities and CL checks to heal

[Valcrist]

I'm interested in how supernatural(Su) healing abilities, such as a paladin's lay on hands, works against wounds that require caster level checks to heal.

Examples of this are a clay golem's Cursed Wounds:

Cursed Wound (Ex)

Spoiler:

The damage a clay golem deals doesn't heal naturally and resists magical healing. A character attempting to use magical healing on a creature damaged by a clay golem must succeed on a DC 26 caster level check, or the healing has no effect on the injured creature.

or a Horned Devils Infernal Wounds:

Infernal Wound (Su)

Spoiler:

The damage a horned devil deals with its tail causes persistent wounds that deal 2d6 points of bleed damage. Bleeding caused in this way is difficult to staunch—a DC 26 Heal check stops the damage, and any attempt to heal a creature suffering from an infernal wound must succeed on a DC 26 caster level check or the spell does not function. Success indicates the healing works normally and stops all bleed effects.

There was a similar thread I found here but there did not seem to be a definitive resolution. I'll be running an encounter soon that will have to deal with this and would like to be able to give my player the closest thing to a rules certain explanation of how this works. Thanks in advance!

[Starglim]

I believe where a supernatural ability needs a caster level, such as the checks you mention, and doesn't specify what it is, it should be the character's class level (if a class ability) or total hit dice (if a racial ability).