It's helpful to think of it in terms of "damage per stack". I'll use espu's calculations, despite the fact that the damage formula is out of date, but there isn't an up-to-date damage calculator as far as I know.
I'll assume 5 power throw, 100 wpf (typical hybrid thrower stats), against a target with 50 armor (my guess of the average body armor in crpg right now).
Damage per stack (value if loomed to +3 shown in parentheses):
Francisca: 46 (66)
Throwing axes: 63 (77)
Heavy throwing axes: 61 (70)
Throwing hammer: 66 (81)
War Darts: 66 (99)
Jarid: 93 (108)
Unloomed, HTA, TA, throwing hammer, and war darts are pretty balanced against each other right now, and Francisca is still pretty weak. When loomed, war darts become exceptional in that company, and francisca becomes competitive.
Jarid is far and away the best choice now (loomed or unloomed), and a candidate to be dropped to 2 per stack if the devs want to nerf throwing as a whole, but remain internally balanced. Artie's brain would explode if they did this, but internal balance among throwing weapons would give us the weapon diversity I think everyone wants.
If Jarid is to remain at its current strength and internal balance is to be maintained, they would need to add 1 additional axe per stack to each of the three throwing axe choices. I'm aware that throwing axes have some other advantages over Jarid (higher rate of fire, better melee mode, etc), so if they did that, they should probably revert to the old damage values for heavy throwing axe.