Only a clutch type LSD will cause one wheel to spin in the opposite direction when the other is turned while the car is in the air. Honda uses a planetary gearset LSD (it's actually a torque biasing differential, but whatever) which does not respond to the wheel spinning test.

I believe the only way to check for a Honda LSD is to look through the diff housing when the transmission is out of the car. If you can see all the way through you have an open diff, and if you can't then it's an LSD. Or...it might be the other way around, I always get stuff like this mixed up.