I have both LV jigs. The original one will twist during use, but you should be able to deal with it without much distress.
The Mark II is repeatable and I don't have much problems with it. The micro-bevel is incredibly simple to achieve. Having said all of this, I seldom use it, I free hand it.
I only use it if a chisel or plane iron needs radical resharpening. I will use the mark II on a (upside down) belt sander if I need to regrind an edge.