Rowena and Gerolt explicitly discuss mass-producing anima weapons during the questline for the hordes of willing, paying adventurers. She likes money like that.
Ardashir specifically mentions wanting everyone from the lowly farmer on up to have an anima companion one day, in every household. Sort of like smartphones, or a Pokemon. Whether this is a good idea or it'll lead to the next Calamity is left up in the air.
In any case, there's nothing stopping you from writing up some fanon and having your character behave as if their sword isn't an anima weapon but some other type of energy-emitting, non-sentient blade entirely. Plenty of possible explanations: magitek, ancient Allagan dickfoolery, etc.
Ardashir specifically mentions wanting everyone from the lowly farmer on up to have an anima companion one day, in every household. Sort of like smartphones, or a Pokemon. Whether this is a good idea or it'll lead to the next Calamity is left up in the air.
In any case, there's nothing stopping you from writing up some fanon and having your character behave as if their sword isn't an anima weapon but some other type of energy-emitting, non-sentient blade entirely. Plenty of possible explanations: magitek, ancient Allagan dickfoolery, etc.