CV-AR should not stop working. There is no time limitation or anything else that would stop it from working. Perhaps you could share your version of C4D that you are using and what OS?
You mentioned you “updated” the CV-AR plugin, but there was no recent update to this for R20. Are you using CV-AR 1.5? What were you using before? Have you made sure to completely delete CV-AR 1.0 from your machine and all your plugin paths and plugin folders before you updated to 1.5 (assuming that is what you did).
Moves by Maxon app works the same as CV-AR since it effectively is the same app but with additional features for Body Capture. I am not sure what you mean by looks buggier. If you are experiencing any bugs then please report them to Support: https://support.maxon.net/open.php.
If your network is having issues with the IP address method then you can use the Sharing feature to send the captures to a dropbox or iCloud Drive instead.