Choosing between Ego Shooting Weapons

[Sparrow the Dunadan]

Right now I possess a-

Light Crossbow of the Haradrim (x4) (+8, +12) <+1>

+1 Shooting Power
+1 Shooting Speed

Cannot be harmed by acid or fire
-

But I am wielding a-

Short Bow of Lothlorien (x4) (+8, +9) <+5, +2>

+5 Dexterity
+2 Shooting Power

Provides protection from Stunning.
Cannot be harmed by acid or fire.
Prevents Paralysis.
---

I think what I'm wielding is ultimately better based on the protections it gives me, and the fact that it has a higher boost to shooting power, and the DEX stat is pretty significant. But then there's the fact that Haradrim gives a shooting speed increase, and has +3 more to the to DAM stat. However, Haradrim is a crossbow, which means it's heavier (at 11 lbs.), vs Lothlorien, which is only 3 lbs.

So am I right in choosing Lothlorien over Haradrim? Or wrong, and why?