I have gone some research into this, but not built anything yet.
Didn't looked hard enough...
PM, and I'll sent you some photos.
Forget about insulation, U values for now. Usualy the structure goes first. Nobody mentioned about the settlements and shringage of so called logs (1"-2" in 8'). And when I saw on a brosure 2 storey "log" extention to a block build house - laughed half day.
Steel mates with stone, block, brick mates with stone,timber - never.
As for making double "log" wall, whats gona hapen at the corners?
In my opinion, the best system would be studs (4"x2", 6"x2"), 1/2 WBP sheated outside, breatheable membrane and cladding on treated 2"x2"s.
Inside - your choice and imagination.
Its nothing new, same timberframe, only cladding instead of brisk on the outside. Costwise it works 30% cheaper, than a "barna shed".
Structual, insulation, soundproofing, as somebody mentioned,- completely different league and not a subject for comparison.