If I were getting the frameset alone it would be the Lynskey. I could justify the price difference on a frame I would keep for 10+ years. Customer service is likely to be better with Lynskey. BD's source is unknown and if a replacement were needed I don't know what I would get. Lynskey would get me another Lynskey off the same production line. Of course there is no guarantee that either will be around in 5 years or more.
When it comes to a complete bike it would be hard for me to pay twice the price for the same component spec. Dunno what I'd do then...