I just tried a few things, and the only thing I've found that it breaks is the stock Voice Recorder app. Camera audio recording works, two guitar tuner apps I have work, and the three 3rd party voice recording apps I tried all work flawlessly. One of them lets you select which microphone to record from, and all those options work fine as well. I haven't tried with call recording, as it's not something I use, but i would imagine it works fine, since hotword detection is (presumably) disabled during a call.
The Tasker idea is a damn good one, and I may just set something like that up in a while. What I'd like to know now, is if the same problem exists on other Samsung devices, or if it's just the Note 3 that's affected...
Sent from my SM-N900T