Regarding this issue, the simple answer is yes.
But, Armor can boost Damage also. It depends on your Character build. For example: Most of the time, Armor boosts your Toughness. It can also boost the Damage of your Skills and your Skill Damage is based on your Weapon Damage. It depends on what you need most, from any particular item: Toughness or Damage.
But, you never want to enchant the Weapon Damage Range off of your Weapon. That is where you will take the biggest decrease in your Characters’ overall Damage.
If you would like further information on this, you should start a thread in the General Discussion Forum or the appropriate Class Forum. This Bug Report Forum is not the place for discussing game-play.
Good luck on your future adventures.