I run five of them, three powered and two battery. One of them "falsed" twice in one week about three months after installation, and not at all in the four months since. So I think it wasn't false, I think there was something triggering it. I've had zero other issues.

Note these were all purchased before Nest turned off the waving, but have been updated with e firmware that ignores the wave.

I also run nine of the original batch of thermostats with no issues, and any minor complaints (e.g. turning off heat when in direct sunlight) have all been addressed over the years of updates.