It brings up one of my all-time favorite words; ambisinister.

Ambidextrous comes from Latin... Ambi- both or either and Dexter- right or right-handed; so equally right-handed with either hand.

Ambisinister, also from Latin... Ambi and Sinister- left or left-handed; so equally clumsy with either hand...

Have been casting either-handed for years and years mostly because small stream silvers require it, but also because I like to play with odd-ball casts. Off-handed makes them seem odd immediately.