Webmention is a modern reimplementation of things like Pingbacks and Trackbacks. This proposal would be to remove the older standards in favor of the new.
The old standards were abandoned because of abuse and disinterest. But the vision is valuable.
Basic premise...Site A links to site B. Site A tells Site B they've linked to it and it is up to site B to decide what to do with it after verifying it.
That can be parsing the sending site to display a rich comment (Better than WordPress currently showing an unintelligible snippet) or even merely using it in a statistic display.
There is already a plugin to support webmention and a separate one that enhances the response.