What specifically "looked pretty big" and how are you measuring "pretty big"?

The other guys here know a lot more about this than me, so jump in and correct me, but what are we talking about here?

Amplitude variations measured in milliarcseconds?

Nancy talks about the Moon and Sun being visibly in the wrong place and the Earth being stopped in orbit and being bobbed up and down by aliens.

How is even a major variation in the extremely insignificant Chandler Wobble even remotely relevant?