Here's my comment on a post by Joannie Stangeland, in which she mentioned how "At the Mighty Tieton LitFuse workshop, Kathleen Flenniken talked about how each line of a poem could (or should) contain a surprise—so that if you looked at that line on your own, even out of context, you would find something new or disturbing or delicious."
For a while back in the late nineties, I tried to make EVERY line break in every poem as meaning-laden as possible. Two results:
1) I failed.
2) Even when I came close to succeeding, the frequency of the effect diluted the effect.
So I think Flenniken (or the idea you derived from what she said) is wrong, because if every line contains a surprise, then no line is surprising anymore.
An analogy: if every paragraph in an essay contains a rhetorical question, then the rhetorical effect of the questions will dissipate.
CODA: One kudo to anyone who identifies the quotation in the title of this post.