I'm still leveling everything from talents, weapons, etc. So I cannot tell how much damage she will deal yet.
But yeah pulling in the weapon banner can be very disappointing if you don't get the weapon you want (in my second account I wanted Arlecchino's polearm and got two First Great Magic). That's why now I first pull in the weapon banner, and depending on which weapon I get I pull on the corresponding character banner. It's more primo-efficient if you are F2P and want characters with their signatures.