Hes hitting just .239 against righties (.302 against lefties), but most of his power comes against righties as well, so that actually makes sense.
I was curious earlier today and went and looked at Cozart and picked him up for super cheap because I believe he is a bronze for some reason, which is just silly to me. Been one of the best defensive short stops in the league this year (third in defensive WAR), second in HR for SS, 4th in wOBA for SS, and 4th in WAR for SS. I could go on. Top 5 in wRC+ and OPS as well. Now that I gloss over that again, that is just the SCEA guys completely missing him and not realizing what he is doing compared to the rest of the league. Cozart has been a top 5 SS this season (most saber metrics have him top 4), yet he is being ignored.
EDIT: Those numbers will favor Cozart even more after tonight and will be tied for first with 9 HRs for SS.