When I try to share this page on iMessage it unfurls the link as "LLM / AI Standard Test Page" so I guess I won't share it!

you can do the period trick:

> . http://example.com .

https://www.idownloadblog.com/2024/03/15/how-to-send-links-w...

You can choose to display the text of the link,

instead of letting your device’s defaults decide who you are,

and then telling all of us about it.