Multiple scrum teams must use same sprint start date (same product)

The question is: ,,Multiple scrum teams creating the same product must use same sprint start date‘‘

I found this question in a Scrum exam preparation book. The right answer in the book is „false“ but in my opinion „true“ is the right answer. They are creating the same product and have all the Nexus events together. It dosen’t make sense to have different sprint start dates. What do you think?