According to NASA, "Earth’s spin axis drifts slowly around the poles; the farthest away it has wobbled since observations began is 37 feet."

Yes, Earth has a wobble - its tilt has varied up to 37 feet. That represents 0.00005 degree variation. Want to visualize that? It's like trying to see the diameter of a human hair a football field away.

That is incredibly insignificant to climate.