Physics K-12 curricula are very biased against teaching modern theories based on the assumption of learning difficulty, complexity in visualization, conceptual demands and mere controvertiality of its results
However, there are equally discouraging reasons for keeping the focus on non-modern physics: mechanics is wrong, even if by approximation is good it is based on wrong conceptualizations and principles (i.e. Newton 2nd law is based on action at a distance assumptions, velocity def on absolute time -based analysis of motion etc).
What's more, there is no evidence that students don't or won't understand SR postulates and concepts. The argument they ignore is that for learning the motivation plays an important factor and if the material is high status, more revealing and more logical then students can learn.
Also, the focus on "building young scientists" |(Konstantinou, 2010) that is the stated or unstated assumption is physics k-12 curricula and assessments has gone to the extreme and to the detriments of education. If students are taught SR then the focus is on basic and selected undertanding than integral one, encyclopedian level insights and assesment- this can work.