Hi,
In short, Office 365 is a plan that with software included, the answer to your question is: Both.
For Office 365 ProPlus, you can review the first link you provided, refer to "Frequently asked questions" and read "What is Office 365 Pro Plus":
Office 365 ProPlus is one of the subscription service plans in the new Office. It is productivity
software (including Word, PowerPoint, Excel, Outlook, OneNote, Publisher, Access, and Lync) that is installed on your desktop or laptop computer. Office 365 ProPlus is a user-based service that allows people to access Office experiences on
up to 5 PCs or Macs and on their mobile devices. Traditional Office installations were tied to the computers they were installed on. Office 365 ProPlus enables flexible new deployment options that IT and/or individual users can choose from to install
Office.
Regards,
Melon Chen
TechNet Community Support