As it took ~7 lines I've just added it to the patch above. This does not deal with the table though, which is created from the TablePager class that is inherited by multiple pagers - I guess moving all of those over should be in some seperate task, as it's not specific to MediaWiki-extensions-ThrottleOverride and may require some testing of diverse pages (in core and other extensions) using that pager.

Both special pages now use OOUI. The table look isn't handled, but that's part of TablePager and should be in another task (for MW-Core, as TablePager usage is not specific to this extension) if there's interest in it.