@JoeBuhlig I've only read of webmentions, the idea being that your site would automatically reflected edits/changes on the source site, you in effect would display a dynamic reference to the source. So, your using webmentions, but then making a actual copy to your embed display?

@RichGriese I’m not truly “embedding.” I’m using the services to capture the data, store it, and then display it. All done via APIs or JSON/XML feeds.

So the micro blog on your site is dealing with mentions more like emails, where you use webmention.io to deliver you the tweet/reply, and retain a copy? For example, I've got my tweets to delete after a week, but on your site they will remain even after deleted?
If it helps to think of it that way, sure. But I tend to think of all communication methods in turns of an inbox to be processed.
I tend to edit (mostly) before I ever publish. I can only think of one or two cases where I deleted. In those cases I do it manually. Not worth the extra work.