The American Style of quotation mark punctuation makes no sense

Years ago, I translated an essay by Terry Windling, On Tolkien and Fairie-Stories, from American English to Italian. I remember arguing with the author about her use of periods in quotations. Each quotation would end with a period before the closing mark. I was puzzled. We don’t do that in Italy. More importantly, I read many English texts where the period was left outside the quotation itself. She insisted that her style was correct1. »