Hi icanicant,
While I'm not familiar with the best match logic you have described, an item that is relisted using the "Relist" option on the Closed Listings page is effectively the same as an item that is relisted through your My eBay page, so I suspect you will find that you realize the same benefits when relisting your items through Auctiva.
If you have any additional questions or concerns, please feel free to contact our customer support team using the web form on the following page:
http://www.auctiva.com/help/requesthelp.aspx-Mike