Note that you also want the "correctly" heard commands, because some of them will have been incorrect. It's frustrating when an assistant gives the "I don't know how to do that", but it's even more frustrating to get "OK, doing (the wrong thing)".
Also, another alternative: provide an actual bug reporting channel. "Hey Google, report that as a bug" "Would you like to attach a transcript of the recent interaction? Here's what the transcript looks like." "Yes."