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There are lots of examples of texts which can be punctuated in more than one way, providing a multitude of interpretations.
I regularly post examples in the RedPen Editing Facebook group, and here are a few more.
Let’s eat Grandma.
Let’s eat, Grandma.
Woman without her man is nothing.
Woman, without her man, is nothing.
Woman! Without her, man is nothing.
I enjoy cooking my family and my pets.
I enjoy cooking, my family and my pets.
So, if nothing else, avoiding ambiguity is as good a reason as any for taking care in the punctuation of your words.
Re-read your own material, looking out for phrasing that could be taken two ways, depending on the punctuation you’ve used.
Watch out also for examples in other writers’ work.