Does READ UNCOMMITTED make any performance difference on static data?
If your data is immutable mark the database as read only. The query execution engine recognizes this and skips locking. However the benefits are marginal. If locking is of concern it means that a) you have locking conflicts, which implies data is not immutable or b) you acquire too many locks, which implies large scans which needs to be addressed by adding an index as needed.

For more details read How to analyse SQL Server performance.