Dave, you'll get some richer, more comment-like displays of Webmentions/Pingbacks/Linkbacks if you're using the Semantic Linkbacks plugin. It was built in tandem with the Webmention plugin and there's some work to merge the two together, but it may be a while before that happens.

Have you dovetailed your site with Brid.gy to pull back comments relating to your posts syndicated to other social sites like Twitter, Instagram, Flickr, Mastodon, etc. yet? It's one of my favorite Webmention features to help aggregate all the conversation about my posts back to my website.