You actually spelled her name right without trying, so kudos for that. But Sophitia kept Gladiatrix, Aeneas, and Brave One from Pyrrha, and you could technically count Omega Sword & Elk Shield, too, but Pyrrha took that from Sophitia, so it's more just taking back what was already hers, for that case. This left her three weapon slots, going by the rule of seven, and so she got Swordbreaker and Blue Crystal Rod back from SoulCalibur IV, and then she got Katzbalger, also from SoulCalibur IV, but as was wielded by Cassandra. This would have made sense if Cassandra wasn't to be in the game, as some kind of apologetic olive branch, but if Cassandra is going to be in the game, even as DLC, it's just bizarre.
Let's assume Cassandra keeps Spatha & Scutum, Skull's Horn, and Icicle from Patroklos, while retaining her Digamma Sword & Nemea Shield for her base weapon. Also leaving her three weapon slots, it would be like if, for the last three, she got Ivan the Terrible, Dark Blade, and... Fire Blade, as opposed to getting Spine Blade (or what would have been Katzbalger, as another option), a weapon from her own selection. It's weird that they would do this.