I would highly recommend wearing Garment. As you're Pure STR, you already have enough Physical Defense, but you're lacking in Magical Defense. The Garment will help to make up for that lack, as well as give you additional benefits, such as a 20% movement increase, which will considerably speed up your grind time, as well as help you catch up to, or escape mobs or other players. Garment also gives you a 20% MP usage reduction - which works quite well for a Pure STR, considering that their mana pool is quite small, in comparison to a Pure INT's.
Overall, Garment is usually the best choice for Pure STRs. I seldom see a STR-heavy build running around in Armor. Pure STR's in Armor / Protector look very yummy to Nukers.
Also, there's no need to throw in so many exclamation points and question marks in your title.
