Previous Next Post Link by Post Rank Value Stored in Another Table

I'm using the Q2W3 WordPress plugin to sort posts by category. This plugin allows a drag-drop interface to change the default post order and modifies the standard taxonomy output so that posts on the taxonomy (e.g. category) archive pages are shown as ordered by the plugin. This plugin has a table called q2w3_post_order where it stores the following details:-

id, post_id, term_id, post_rank, taxonomy, post_type

The post_id contains the ID of the post, term_id contains the category ID by which the post is sorted, post_rank contains the position of the post in a category listing (posts with lowest position numbers are displayed at the top) and taxonomy contains the taxonomy name by which the posts are sorted (in this case, category).

This works flawlessly on the category archive pages. The posts are showed as sorted by their positions but as soon as you visit the single post page, the previous/next links (which are configured to only navigate within the existing category) no longer follow this order.

Could you please help me out with this so it's possible to have the previous/next links follow the sorting order by the post_rank values stored in the q2w3_post_order table?

Thanks a lot in advance!