Sorry, but I have never heard of Sullivan's thread. Is there a DMC to Sullivan conversion chart?
I would check how well the colours match first, so that the end result can be a happy one.
I did a google search regarding this thread and found this link. (delete the spaces after //)
http:// crossstitch.about.com/b/2009/06/01/poll-have-you-stitched-with-sullivans-embroidery-floss.htm
From the replies in the link, I personally would not use it for a big project like HAED.
Hope this helps you.
I've used it and have had less complaints about it than I do about DMC.
I absolutely detest DMC.
I would say find a small project with only a few colors and try the thread for yourself. Each stitcher is different. For example, people will tell you how much they love DMC and I just posted a LONG post about why I hate it. Each person is different and it really is personal if you have been stitching long enough. But I will say I am NOT teaching my niece on DMC.
I have used Sullivans floss. I find that it works as well as DMC and in my opinion frays a bit less and tends to tangle less when not using bees wax or Thread Heaven.