No... and you're trusting this WAY too much. This is exactly why it's dangerous.
You don't need any knowledge of the domain. Tools like shodan will categorically identify EVERY jellyfin instance that scanners will run into.
the media/user/stream IDs and media paths.
No. Read the whole thread. https://github.com/jellyfin/jellyfin/issues/5415#issuecomment-2525076658

If your path is similar to my path, which due to the nature of the software we ALL have similar paths. You can absolutely bruteforce the CALCULATED AND NOT RANDOM MD5 hash of the folder names that bigbucksbunny lives in. All it takes is for one angsty company to rainbow table variants of their movies name to screw you completely over. This is "security through obscurity". This isn't safe AT ALL.
Edit: Just to clarify you would have to ADD your own GUID style information to the folder path in order to make it so a generic precompiled rainbow table for common paths to not work. Eg, /mnt/53ec1945-55dd-4b73-8e03-9e465d5739c3/movies/bigbucksbunny
common paths/names can be setup based on the defaults for programs like the *arrs with minor linux-minded variants and I bet it would hit a good chunk of users who run jellyfin.