This feels like such a weird stance. I can’t imagine someone saying something to the effect of “I don’t want my DNS records just circulating without my control.” This isn’t like AP giving CNN republishing rights, this is getting a magazine from the stand at the convenience store rather than having going to the Condé Nast corporate HQ.
Like it’s your site, exactly as it would be if it was delivered by your server just delivered by someone who already had a copy on hand rather than fetching a new one every time. This is what HTTP proxies used to do, what DNS caches and browsers still do. TLS broke web caches because TLS secured the connection instead of the content.