Will anything bad happen if entries in the MediaWiki "logging" table are not inserted in chronological order?

Due to a bug, our logging table has incomplete data. I'd like to insert the missing data using a script. However, the log_id column is auto-increment. This means that when the table is ordered by log_id, the data will not be in chronological order by log_timestamp.

Is that bad in any way? Or are all applications (like Special:Log) expected to "order by log_timestamp" rather than log_id?

Thanks, Dan