As I understand it - yes normally these numbers are sufficient to verify outcomes. However in extremely close races, such as what happened in WA - it can come

As I understand it - yes normally these numbers are sufficient to verify outcomes. However in extremely close races, such as what happened in WA - it can come down to very small numbers of individual ballots and how their preferences are stated, as to what order senators are elected in. This then affects the re-flow of preferences.