I do think "hunt" could entail a few more things than "someone came this way" and "they were running". I definitely am a fan of the "someone has been digging here", a little less on the 'something has been buried here'.
Absolutely like the 'signs of a struggle', but I know the "combat has happened recently" already exists.
I think "city hunters" would probably know if someone fell into the room from somewhere. I'm not exactly sold on "someone tried to pick the lock" per se, most of the locks in game have probably got scratches from attempted pickings over the years.
Still a big fan.