PSL does not show status of profession treasures when hovering over perks unlocked in profession specialization.

I found this to be extremely useful and miss it :(

I've retired this particular feature, because it was very time-intensive to maintain and other addons do this better.

For the profession treasures in particular, HandyNotes + HandyNotes: Dragonflight or All The Things can show the collection status of these and also includes their coordinates.

For profession weeklies, I'd recommend Chore Tracker by WowThing.org author Freddie. It's great!