Believe it or not, these thresholds have effectively existed in the US forever. It's why we have small claims courts, misdemeanors vs felonies, traffic violations, etc.
> What's the threshold over which you believe crime is no longer okay?
You completely missed the parent's point. It's not that they don't think crime should be "no longer be okay", it was addressing the the grandparent's point of "we're living in a third world country because my $200 AirPods got stolen" is simply out of touch with reality.
> Does someone have to burn my house down for it to be worthwhile for the police?
In third world countries this is pretty much how it works. As an American, going to Brazil or South Africa (for example), you're basically told "don't wear/carry anything of value". It's not that there is a chance that you'll get mugged, it's that it's likely it'll happen. I live in Austin and carry my AirPods on me all of the time. The likelihood that I experience what the OP experienced is so unlikely that it rarely crosses my mind. The grandparent's comment is hyperbolic drivel.