Most of Michael's crying does not bother me. Early season 1 comes across as really, really weird in retrospect because she was played as being very stoic/suppressed, but I can chalk it up to early installment weirdness/pivoting the character to play more to SMG's strengths.
I do have issue with Michael's crying in certain episodes however. Like the episode where she bid Nhan farewell. We saw nothing onscreen to suggest Nhan had a close relationship with Michael - or with anyone really. The tears didn't seem warranted here for that reason, because the show hadn't done the legwork to make an emotional connection that the viewers could identify with.
I agree with this one alone. This seems to be the only point where it bugged me. Michael and Nhan didn't really seem that close but then again we never saw much of the time they may have spent together off screen that wasn't shown in episodes. But yeah this was the one time the crying bugged me.