Oldie but unanswered and still a top search result for this question....
Richcopy DOES copy NTFS permissions.
First, click view>advanced
Then click option>file attributes,error handling> and tick Discretionary access list, Group, Owner, System access control list.
And the important bit: Make sure you are running Richcopy on the source server, not the destination server. Then select your source from the local drive (eg e:\data) rather than \\server\share. Select your destination with \\server\share.
Then all will be well, all NTFS permissions will be copied.
Quite why you have to do it in that order, I'm not entirely sure - but do it and it will work.
From:http://rscc.co.uk/richcopy-not-copying-ntfs-permissions/