I've built the les lius and it is a great little circuit with 3 distinctive amp tones, in the description of the lavache it states that the middle and right positions on the shape switch sound basically the same and possibly experimenting with z3 to taste. Where the lavache may have a slight edge is that the gain pot affects the unboosted signal where the les lius the gain pot can only be used with the boost engaged.
If it wasn't for this website I would definitely have a life.