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Is super natural abilities effected like spell like abilities when wearing heavy armor?
I don't think so but I can't actually find a reference that even says Spell Like is subjected to failure chance...
Spell failure from heavy armor only affects spell with somatic components.
Since Supernatural and Spell Like Abilities do not have components at all, they are not affected by spell failure.
Spell failure from heavy armor only affects Arcane spells with somatic components. Since Supernatural and Spell Like Abilities do not have components at all, they are not affected by spell failure.
Spell failure from heavy armor only affects Arcane spells with somatic components.
So to answer OP, yes, it is affected the exact same way:
Not at all.