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These seem to work fine, IMO. Even optimally so
In fact, I think there must be a partial exception for white linen shirts in general. A number of the counter-examples offered involved linen shirts.
I don't think this is really in contradiction to Manton's original argument, either. The roughness in linen -- not to mention the inevitable wrinkles -- almost qualifies it as a pattern. Linen is most definitely not a "citified/formal" shirt. In addition, a lot of white linen shirts are not really "white," especially when you are wearing them.
I've been convinced to get a white linen shirt.