I’m not totally sure this has to do with the buddypress integration, but when I view My Listings from My BP Profile, I see my listings.
To the right of the basic listing info, I have the following:
No Reviews
Favorite
Upgrade Listing
Edit
Delete
Expire date: January 1, 2020 (321 days left)
Status: (Published)
Edit listing link and upgrade listing link looks something like this on each of my listings: https://shopmainstreetonline.com/add-merchant-listing/?pid=186738
This is an Add Listing link, which brings them to a page where they can add a new listing, but it has none of the existing listing info.
A member can edit their listing by using the admin bar edit listing link, but it is confusing members.
On the attached screenshots, note the link showing at the bottom left of my screen.