Add collect statistics configuration

[Dandandan]

Is your feature request related to a problem or challenge? Please describe what you are trying to do.
Currently, the collection of statistics is off by default. This means that any statistics-based optimization will not do anything.

Describe the solution you'd like
Introduce a setting for the collection of statistics, so it can be enabled by the user/consumer.

Describe alternatives you've considered

Additional context

[isidentical]

Hit the same thing on #3774 too 😄