Correct possessive: "my genius" or "my ingeniosity"?

I have stumbled across the usage of "genius" as a possessive on two seperate occassions:

A meme featuring Jeremy Clarkson from Top Gear saying:

Sometimes my genius is… it’s almost frighting

Critertion (i) from the UNESCO World Heritage Site:

"to represent a masterpiece of human creative genius"

I feel however that the usage of "genius" as a possessive here is a bit awkward and that the correct word should be "ingeniosity". Am I correct?