My counter argument is that you only need 1% of the population to be bad apples in order to destroy a high trust society. Hell, even a single serial killer on the loose will make a lot of people too afraid to walk alone at night. One or two burglars can be responsible for 50% of the burglaries in a town. And so in and so forth.
The other problem you have is that a lot of crime tends to be financially rewarding, so if left unchecked it will tend to grow over time as the criminals get richer and expand their operations.
For all those reasons, you need surveillance to catch criminals and restore trust even if 99% of the population are good people.