Before revision:  They are valid under a wide range of empirically relevant conditions in which existing CIs generally fail.
After revision:  Their construction shares similarities with that of Anderson-Rubin CSs in exactly identified instrumental variable models, and thereby avoids issues with "delta method" approximations that underlie most commonly used existing inference methods for fuzzy regression discontinuity analysis. Our CSs compare favorably in terms of both theoretical and practical performance to existing procedures in canonical settings with strong identification and a continuous running variable. However, due to their particular construction they are also valid under a wide range of empirically relevant conditions in which existing CIs generally fail.