Yes, you do double damage with solar weapons, and normal damage with arc/void weapons. So running a strike with solar burn, and using arc or void weapons is dealing the same amount of damage to mobs and bosses as when no burn is applied. So in doing so, you're not dragging your team down, you're just not lifting it up with the extra damage. It's like getting handed a boon, but not using it. You don't damage you're party if you're not using it, you simply contribute a little more if you do.