The term "nonfree network service" is not coherent

"Non-free Network Services" are listed in

• https://f-droid.org/wiki/page/Antifeatures
• https://f-droid.org/wiki/page/Antifeature:NonFreeNet

The term "nonfree network service" is not coherent; see explanation in http://www.gnu.org/philosophy/network-services-arent-free-or-nonfree.html.

Could you please explain what meaning you have in mind for that term?