Hello!
I re-ran the update. Again, the homepage retains links to the site.
Below is the portion of the log:

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HTTrack3.43-9+htsswf+htsjava launched on Tue, 13 Jul 2010 00:46:17 at
<http://aiki-viet.com.vn/> +*.png +*.gif +*.jpg +*.css +*.js
-ad.doubleclick.net/* -mime:application/foobar
(winhttrack -qiC2t%Pns2u1%s%uN0%I0p7DaK0H0%kf2A25000%f0#f -F "Mozilla/4.5
(compatible; HTTrack 3.0x; Windows 98)" -%F "<!-- Mirrored from %s%s by
HTTrack Website Copier/3.x [XR&CO'2010], %s -->" -%l "en, en, *"
<http://aiki-viet.com.vn/> -O1 D:\z_aikiviet_httrack\Aiki-Viet +*.png +*.gif
+*.jpg +*.css +*.js -ad.doubleclick.net/* -mime:application/foobar )
Information, Warnings and Errors reported for this mirror:
note: the hts-log.txt file, and hts-cache folder, may contain sensitive
information,
 such as username/password authentication for websites mirrored in this
project
 do not share these files/folders if you want these information to remain
private
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Thanks & regards,
ib.