See…
http://apple.stackexchange.com/questions/40941/how-do-so-set-date-added-metadata -in-mac-os-x-10-7-lion
There are some insane solutions to setting date added in there, it turns out it is an extended attribute, but this 10.6 system doesn't have it!
mdls will show it, it is under the key 'kMDItemDateAdded'
Ironically I do remember being OCD about this at one point because I compiled rsync with some extra patches to preserve the xattrs.
Here is what my updated version reports…
/usr/local/bin/rsync --version
rsync version 3.0.7 protocol version 30
Copyright (C) 1996-2009 by Andrew Tridgell, Wayne Davison, and others.
Web site: http://rsync.samba.org/
Capabilities:
64-bit files, 64-bit inums, 64-bit timestamps, 64-bit long ints,
socketpairs, hardlinks, symlinks, IPv6, batchfiles, inplace,
append, ACLs, xattrs, no iconv, symtimes, file-flags
Here is the version that 10.9 reports…
rsync --version
rsync version 2.6.9 protocol version 29
Copyright (C) 1996-2006 by Andrew Tridgell, Wayne Davison, and others.
<http://rsync.samba.org/>
Capabilities: 64-bit files, socketpairs, hard links, symlinks, batchfiles,
inplace, IPv6, 64-bit system inums, 64-bit internal inums
Apple are bad at keeping their installed tools updated - the patches have been around since 10.6, version 3 of rsync is also old now.
I believe I followed this guide by Mike Bombich (he makes CarbonCopyCloner).
http://static.afp548.com/mactips/rsync.html
So I would expect Carbon CopyCloner to preserve them (I think that is what it uses).
If that fails for you I can let you have the shell script that I used to compile it. However it was for 10.6 back in 2012. It does the same as Mike's guide as far as I can remember. You will need Xcode to compile it via the Terminal. It sounds a little extreme for just copying some files 🙂
Does that help?