I've never heard of lavender jade, but I imagine that, based on the colour, it may have some different properties. I would imagine that it would be a more emotional stone, as opposed to greed jade, which is a money type stone.
jade comes in lots of colours: honey(myfave), white, grey-ish, lavendar(next fave), green, and i have heard red too but i have yet to see a genuine red jade
you can check ebay out to see the variation in colour
I had a lavender jade pendant at one point, though nobody knows where it is now, and I found it to be a rather gentle stone. It was very calming and tended to give a nudge toward opening the third eye, often clarifying things, but without being overpowering at all.