
StarlingSweeter |
Pathfinder Adventure Subscriber

The text of Implement Empowerment states you need a free hand when you strike to add a small bonus to damage on your attacks. Since bows are 1+ I am assuming you cannot add this damage to your strikes with them? As you do have a free hand but its occupied while you are striking.
If so this may mean that crossbows and guns may be the favoured weapons of a ranged Thaumaturge.