Any weapon should be launchable.
The velocity should be inversely proportional to the mass and the damage, taking into account the throwing technique, should depend on factors such as moment of inertia, mass of the weapon, angular velocity (rotation) and linear velocity.
After that the damage to objects (such as shields) should be proportional to the uneven distribution of mass and inversely proportional to the impact area.
After that, the thrower must face the consequences of throwing it.
So either he brings a spare or he gets it on the battlefield.
It doesn't matter if the throwing of a sword is "not historically accurate" or "implausible" or even "useless" (I agree that it often would be), because as long as it is not "physically impossible" and therefore remains possible, then it should be allowed to do so. and the mechanics should be inserted.