To have baseline UX awareness is crucial for every developer on any team that sets out to build a great product, just like any effective designer has to be aware of physical limitations of his design space (for example speed of light, bandwidth)
If your UX designers job is to point out that responsive UI is indeed important for your product, he is not actually doing UX design and you are likely in deep trouble.
Apple and Google shouldn't fire their best compiler/JIT writers just because they write lousy GUIs.
A designer is not responsible for making sure that the implementation of their design runs at stutter free at 60fps in a browser -- that is an engineers job. If the engineer who implements such a design is insensitive to these things and needs convincing that it's important to not have the implementation not stutter, jerk or jank you are never gonna get good results.
Is that a good metric to judge a developer, though? Good UX requires either formal training in the field, or a very gifted individual. In my opinion it has very little to do with the quality of either the code or the developer.