They are both very light. Hard to tell any difference.
In terms of comfort I would say the Supreme NATO has a slightly nicer feel on the skin. It has a very silky finish and is very supple.
The Chevron is a bit stiffer and the coarser weave makes you feel the edges a bit more, but it's quite comfortable all the same.
I like the fact that it is a single layer. I never understood the need for the second layer. IMO serves no purpose and makes the whole thing bulkier. I usually cut the second layer off the NATO straps. The Omega NATOS survived because they cost serious money and I like the Omega logo on the extra ring very much !
IMO the Omega NATO is the best feeling strap of its kind, and this Supreme NATO from C&B is the closest feeling one I have found so far. It's REALLY good.
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