Less damage than staff, even lower damage on weaver because bugs+lack of 3 skill. The dual skills are a slap in the face to the weaver mechanic overall.
Fulgor is incredibly bugged, doesn't inherit any of the 3 buffs, doesn't generate energy on catalyst, doesn't really do much damage either. The 3 buffs themselves get milled on auto attacks.
The timing of the Etch skills is incredibly narrow. Lag can easily make you miss the cast, or even downright interrupt yourself wen trying to set up the Etching. Some of the 3 skills have cast times which conflict with casting your Etch resulting in cancelling the Etch.
Volcano deals almost no meaningful damage compared to meteor shower. Meteor (4) is hard to land, and sometimes doesn't register a hit even if it connects with a target. After using your fire skills, you have zero followup compared to staff where you can follow with water 2/air 2, weaver dual skills, etc.
Most of the damage you see is coming form glyph of storms, ice bow, relentless fire, and resetting the fire skills. Overall, very low damage on average. The burst exists for the opener and that's about it. Zero followup due to long cooldowns and impractical skill setup conditions. At least on staff you can reposition with flash/burning retreat.
The weapon needs significant work/rework to be even on par with staff. SPvP is even more miserable. Weaver dual skills need to be actual skills and not a bad copy of hammer 3 buffs. Where was the ingenuity from the pistol dual skills for spear?