If you purchase Office 2013 Professional Plus on a PC (OEM) or off a retail shelf there is no downgrade rights. This means you do not have the right to install Office 2010 instead. However, under certain volume licensing programs if you purchase Office 2013 Professional Plus you do have that right. This is one advantage of using volume licensing.
Now in the Office 365 world, if you purchase a plan that includes Office Professional Plus for the desktop what happens? If you purchase that plan via a console (either the Microsoft console or the Telstra console here in Australia) you do not receive any downgrade rights because it is effectively like a retail purchase. However, what happens if you purchase Office 365 via Open licensing?
The answer can be found here:
Licensing Microsoft Office Pro Plus Subscription Service in Volume Licensing
Inside the PDF you will find:
Online Services Downgrade Rights In Online Services customers have access to the latest technology with the newest features and releases. As with all
Subscription Services, Microsoft generally offers only the latest version of the service at a time. Therefore, downgrade
rights are not available with Office 365 ProPlus licenses.
So, in summary, no matter where you purchase Office 365 Pro Plus from, it does not come with downgrade rights.