By Design I think some jobs are bugged here.

[MagicMerchant]

I have tree assist without arborist and I think Archery and Taming possibly shouldn't be active also?
Lumbering skill also increased by chopping wood.

 

[12_zombies]

Miner unlocks Mining and Digging
Monster Hunter unlocks Archery, Combat, Taming
and Treasure Hunter unlocks Mining and Lumbering