Does Kensei’s Shot scale with Martial Arts die?

does Kensei’s Shot scale with Martial Arts die? I feel like it doesn’t by RAW, but it was unclear enough that I wanted to ask. #DnD #SageAdvice Kensei's Shot deals an extra 1d4 damage, as stated in its description.

— Jeremy Crawford (@JeremyECrawford) January 3, 2018