Through this thread I learned that Quick Print in 2013 sticks with the printer's actual settings, though. I also learned I could go through Printers, default printer, and reset it there, so this thread was still very helpful
and I have resolved my issue, just not how I was expecting to, so thanks to everyone who had something to say on the topic.
Actually, Quick Print works just exactly the same way as FilePrintDefault in previous versions: it uses the currently applied settings. If you mouse over the Quick Print button, you will see the printer name. If you open the backstage to the Print tab (Ctrl+P)
and change the printer, then close the backstage (without printing), you will see, when you mouse over the Quick Print button, that it shows the other printer you selected. It will also use some other settings you've chosen (such as duplexing) but not the
number of copies, page range, or other specific choices.
When you quit Word, both Print and Quick Print default back to the default printer settings set in the printer Properties through the Printers folder.