After being stuck on this for half an hour a friend takes a look at my Vue and server code.

"You're not actually accessing the arrays, you're only receiving the response as an object."

Seinfeld music plays

This is what I saw when I console.log-ed this.response.data

This is what I should see if I want to iterate through arrays of row objects: this.response.data.rows

Thanks to Conan Lai for clearing that up.