Linux doesn’t work that way. On Synology, admin is just another user.
I urge you to take plex back out of the administrators group. It will cause problems down the road.
The key to Synology with Plex is making certain user Plex has permission to the shares containing the information.
In this announcment, you’ll see where I show how to work with the unprivileged user “Plex” in DSM’s environment.
The share’s “Permissions” tab is critical to all things on Synology.