Automated correction and cleanup is a joke unless you have quality check at every step in the digital restoration pipeline. I think according to Harris the film restoration supervisor.
And When it is done you should have an archival new negative made and a new print backed up on film made.
I personally believe wherever possible in photochemical and frame by frame, by hand restoration in a clean environment so they don't add dirt back in when cleaned off. Like the 1997 restoration by YCM Labaratory. Which would be a perfect restore if Lucasfilm did not splice those dreaded cgi shots into the physical negative and therefore destroy film history.