Before you make a final decision, and maybe make a considerable investment in ordering from overseas, please consider the design used by LaFuma in their canoe chair. They are probably no longer available, but look like this:
Unfortunately, they use steel tube, which brings it up around 3 lbs; but their design has been imitated by many cheap aluminum beach chairs weighing in the 2# range.
IMO, this design is a lot more comfortable than the ones mentioned above, provides good back support, elevates you off the ground, and folds up flat, or close to flat, for packing. I've made several of them a bit narrower and out of aluminum tube for friends, and use one myself with leno mesh for the seat and back support that weighs 1.75 lbs. It looks this this, open, and folded:
I'm currently working on a lighter model that should weigh around 1.25 lbs. The great thing about the mesh is that there is no fabric to absorb water, and you can use the chair when it's raining.
Suggest you first check out small folding beach or sand chairs in your local sporting goods and department stores. If you find the right one, you can always replace the cloth or woven plastic seat and back with mesh.