What if you created another display of the same view as your Article page view?
You could add a Relationship for the Taxonomy Terms and then the Fields in the block view would be the appropriate fields from the taxonomy terms. You'll want to setup the same Filters, Sort and Pager options for the two displays are the same. That way the results should match.
Then you might just want to hide the pager from the block view. You could do that through a custom template for that view display, or maybe a preprocess function that hides the pager for just your view, or maybe via CSS.