I was sure the box that went into my Mk4 was an LSD box...... it felt different in the corners, but mostly just when properly caned.

With the car jacked up the other day it was noticed that the wheels rotate in opposite directions.... the sign of an open diff. Would this happen on an LSD box which was knackered?
Also any options for sorting the LSD?

So either I've got a knackered LSD that only locks when hot/or it feels like it... or I was diddled and it never had one