I haven't rooted and installed wireshark on this device, but even if I did it could just not send it whilst that is logging. Or, it could be that wireshark doesn't see everything. Or I just wouldn't notice as there are many packets going back and forth between my phone and Google.
I suppose I could install Cyanogen and not install Gapps. But then, how do you know that Cyanogen isn't compromised?
Life's too short. Facebook messenger is convenient and most of my friends use it so I go for it. I just assume that all of my communication and more seriously location data for the last few years are logged with the intelligence agencies.