"Non horst link 4 bar" is a very fancy way of saying "single pivot".
The new Turner, like most Konas, is a single pivot design. It might
have a very fancy shock linkage, but there is only one pivot between
bottom bracket and rear axle.
I liked the bike Scott made, which had interchangeable rear dropout
assemblies that could be switched between a Horst and non-Horst design.
(They sold the single pvot version in the USA, and the Horst design in
the rest of the world where Specialized's patent lawyers can't reach).
I'm sure that Turner could have done a similar thing if he had any
sales outside America.