I highly recommend that you don’t use emojis in URLs, they are not meant for that at all.
I’m also not entirely sure what you are having an issue with, there are no images on the page you linked, so of course no images are showing up when you post the list on socials.
Yes, that’s because of the security system that keeps out bots and scrapers. It also prevents you from embedding your site’s files on other sites. The article @KangJL sent you goes into more detail.
Also, I remembered that at the start of working on the look of the site the links displayed the preview (example on screenshot), so in theory it worked somehow, is there any way to restore this? I understand your policy, but It’s really important part to me…
Greetings!