The THF animations are RIDICULOUS. The wide swings (where the character jumps in the air for no reason) not only look unrealistic/cartoonish, they look absolutely unprofessional.
It looks like the swing is being led by the weapon, like the character is throwing the weapon out while still barely holding onto it.
A good swing is led by the body central mass, twisting the hips and following through strongly with the arms, ending lastly with the business end of the weapon, giving it a whipping, maximum speed.
After you've swung through your target, begin slowing and redirecting the weapon. It is best, if possible, to use the momentum of the first swing to translate into the path of your following swing. That way you're not spending all your energy stopping the weapon just to start it again the opposite direction.
Needless to say, no jumping needs to be involved, especially in side-to-side swings. Our characters should not look like their weapon is "out of control" (unless maybe a halfling with a two hander, hahah).