To explain this: Caeda has uses Lances as her main weapon for decades, virtually all her official artwork depicts her with a Lance, she has the Wing Spear, a unique spear only she can use, and in all but one game she is not able to use Swords at base. Even in the one game where she could use swords at base, her map sprites depicted her with a Lance. So with all these things why does Fire Embelm heroes, against all logic, make Caeda use Swords? Its not as if the game is lacking sword users, there are tons of them!
To a lesser extent this applies to Draug too who hasn't had the ability to use Swords since the NES original.