Even though web beacons / trackers like Google Analytics are fairly harmless, I still wouldn't trust them in this app because they often sit close to the main app's code and can be MITM'd to do bad things like send back snippets of a recording, or metadata about a recording like the name of the video file. That is, of course if this app has such beacons. I haven't sat between the traffic of this app (ab)using Burp Suite or Fiddler[2] to give a proper opinion

[1] https://portswigger.net/burp/

[2] http://www.telerik.com/fiddler