One of the reasons for learning that style of combat is that it looks good. Seriously, it's the best way to wench around. Hiding behind a shield looks cowardly, wielding one large two-handed weapon looks brutish. But with one blade in each hand, you look dangerous and chicks dig that, even if it's not the best fighting style ever for more practical purposes.
All offense, but in a graceful way, one that shows adroitness and panache. Fighting like a tiger, like a whirlwind, attacking two foes at the same time... The ultimate swashbuckler!
It's also the best option for people who are nimble enough to not terribly need a shield, yet aren't strong enough to kill an enemy with just one blow. Then it's better to maximize the amount of attacks you can do. If you wield yoru weapons with finesse, rather than brute strength, you can manage to score more hits and bleed your enemy to death rather than slay him in one powerful blow.
This is also especially when your weapons relies less on strength and more on something else to damage your foes. Sneak attacks in vital organs, poisoned or enchanted weapons, or better yet, sneak attacks with enchanted and poisoned weapons. Then causing a deep wound is irrelevant, causing a lot of wounds, even superficial ones, is better.