Is there any hidden meaning behind this verse?


I think you're just misinterpreting the line. Tulasidas isn't calling Hanuman "buddhihina" or lacking in intelligence, he's calling himself buddhihina and thus in need of Hanuman's help. Here is how the Gitapress translation renders the line:

Considering myself devoid of intellectual merits, I invoke Sri Hanuman, the son of wind-god. O! Bestow on me the strength, intellect and knowledge. Kindly remove my bodily ailments and mental maladies.

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