Can't stress this enough. There is no evidence that "Florentine" style fencing ever actually existing as a serious combat style.
Dual-Wielding swords has been popularized in Fiction, and is used in some less serious martial arts. There are vno records of well trained combatants choosing to duel-wield with serious intent. It has almost no advantage. It gives up reach to two-handed weapons, and gives up defense to shields or proper off hand weapons.
You actually have less effective reach with two one handed swords than a single one handed sword, much less a sword designed to be used two handed.
That said - Combat with a shard blade is very different than traditional fencing. When you can be reasonably sure (excepting other shard bearers) that your swings are never going to be interrupted - many "not-normal" things become possible. If there was a time when dual wielding might make sense, a single shard bearer in the midst of a large number of enemies - where collateral damage is unlikely - might be it.
This probably doesn't come up very often though. Certainly not enough to justify taking a shard blade away from someone else in your house.
They style very often described strikes me as "hand and a half". The shard wielders often switch between one handed and two handed fighting as the cause dictates. As an amateur "sword fighter" / reenactor - this seems right to me. This seems like what I would do with a shard blade.