personally, I don't think so. The link itself is actually a static website which anyone can host combined with piping server (actually I recommend doing so if someone wishes to also use my project to host it on their own github pages)
If Archive.org has any trouble with content owners, then archive.org has a proper mechanism iirc if content owners wish to remove the content.
Currently, only I use this myself to share links of archive.(is|ph|today etc) which people share on hackernews, and I convert it to archive.org
Personally I made this project because I was a bit sick of captchas and I saw many people who couldn't access archive.is or who were hesitant to do so, so I decided to made it.
Edit: that being said, I am not a lawyer and I am more than happy to help anybody/everybody interested