Download the Office 2016 Deployment Tool from this link.
Run the downloaded .exe executable file.
Select a local folder (for example C:\ODT2016) and extract the files to that folder.
You will get two files, setup.exe and configuration.xml.
Open "configuration.xml" in a text editor (like notepad).
Replace the complete content of the configuration.xml with the following lines:
<Add SourcePath="C:\ODT2016" OfficeClientEdition="32">
<Language ID="en-us" />
<ExcludeApp ID="Lync" />
<Display Level="Full" AcceptEULA="TRUE" />
OfficeClientEdition="64" if you are on a 64-bit system.
Save the changes and close your text editor.
Open a 'Command Prompt window' as administrator.
At the command prompt, type: (assuming that you extracted the files to "C:\ODT2016")
Next, enter the following command:
setup.exe /download configuration.xml
Wait for the prompt to return. (Note that It may take a while for this command to complete).
Enter the following command:
setup.exe /configure configuration.xml
Confirm to close 'Skype for Business' when asked.
Wait for the setup to finish.
Close the 'Command Prompt window'.
Remove the folder where you extracted the files.
Restart your computer to test the result.
For me this worked like a charm and Skype for Business was finally gone from my system.
Also worth noting is that all of the remaining Office applications still work just fine. The procedure has had no impact of any of their settings.