You obviously have not tried to tried to install the 2016 versions from your O365 page. 'Office 2016' is EXACTLY how the installation program terms the product when it tells you that it has to uninstall Visio 2013 versions, and that you cannot reinstall
them on the same machine.
They are lamenting that they will lose Visio 2013, nor have any way of making it the 2016 version.
I think you need to get your facts straight before categorically stating someone else is incorrect!
You caught me on the day the MS Office lunatics are running amok in the asylum, so I am not too pleased!