I personally would have voted for this back when the Tidal integration was a thing (because that’s the only time I played music through Plex). I don’t personally care to show what movie or episode I’m currently watching on Discord.
This is indeed already possible, see my PR here for example feat: supply activity type, add buttons, other misc changes by brw · Pull Request #26 · Arno500/plex-richpresence · GitHub
Since recently it’s also possible to make the text and images clickable and change the status text (“Playing/Watching/Listening to ”) to be the thing that is being watched/listened to instead of the app name (Discord Developer Portal), which means it has feature parity with the Spotify and Crunchyroll activity integrations. I’m not sure if any existing Plex Discord RPC apps are using this yet though.