With billions of phones in circulation, and rumors of audio eavesdropping being quite common, why has apparently nobody ever run a typical smartphone with network logging and memory snapshotting to actually check what all these widely popular apps are doing?
People have. And it's always shown that no apps are opening your mics when you're not using the app, and that if you're using the app they generally will only open your mic when it makes sense to do so. These companies are most likely lying or exaggerating their capabilities. Since so many people believe in audio eavesdropping anyway, it's in their interest to make the buyers of their software believe they're much mo…
Can you link to people who have checked?
I had a couple of the last BlackBerry phones, that ran Android. They came with this "DTEK" [1] app that monitored when apps accessed your phone's sensors. And I remember every time I checked it, the various social media apps had all been caught snooping something like hundreds of times a day. This was happening even when I didn't use the apps, so there definitely didn't seem to be any reason that "makes sense" to do it. Not sure if it was microphone, or maybe just location or something, but audio eavesdropping isn't really out-of-character based on that.
1: https://docs.blackberry.com/en/apps-for-android/dtek-by-blac...
https://crackberry.com/how-control-your-mobile-privacy-black...