I have done some testing and this might help.
did it show any errors on the restore successful page? no error code, but when I looked at the database through php myadmin I did notice that the plugin created 11 new tables (these are the core 11 tables) in my database.
it created them with the prefix of wpkb_ instead of the wp_ . I have wp_ set on both site and you can see that via my wp-config.php file.
inside of these new tables the find and replace was done. But was not done in the wp_ tables. I can open table wpkb_options and see the updated url’s . but in wp_options this has not been updated.
this is why the links dont seam updated.
hope this helps.
hope to see an update soon, love the plugin.