Nothing dictates that receiving a Webmention means you’re bound to display its source content on your website.
You could…
• forward the Webmention to your email,
• build a private notifications dashboard (with or without a moderation queue),
• add a link to the source page to your website without including its content,
• do something wild like set up an auto responder to the original author thanking them for the like/boost/reply,
• etc. etc. etc.
