Not what I suggested. Let me clarify...
Create a new BLANK document to the correct page size and page count. Include the bleed if it is used.
Let's say you have an 8-page booklet. The pages will be arranged like so: 8/1, 2/7, 6/3, 4/5.
In the NEW document, PLACE the 8/1 spread on page 1. It will show the left page, so you will have to crop it to show the right page (page 1).
Go to page 8, PLACE the same spread again. It shouldn't need cropping but it depends on the PDF.
Continue on each page.
When finished, EXPORT the InDesign file to a print PDF, using High-Quality.
Hopefully, that makes more sense.
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