Use non_exhaustive_omitted_patterns_lint lint

[Lorak-mmk]

Using this ling would prevent us from missing any new error variants added to Rust Driver. Unfortunately, it requires nightly compiler that we don't want to use.
There is a solution that is potentially worth exploring: we may be able to put required directives behind some cfg config, and have a separate pipeline that would run this lint.
That way we can use the lint, but keep developing the library using stable compiler.