Same here, except that I gather all the bibliography entries into a Zotero collection organized by paper and only export that to the latex workspace rather than using JabRef. Works a treat and keeps the size of the .bib file small.
This is probably an automatable task, but it's generally not too much of a burden to do manually. I add a 'needs-review' tag to papers I've identified in a literature review, and categorize it when I get around to reading it.