When a pitcher and a catcher play together on the same team, the catcher ends up being able to spot pitches much better than he would against a pitcher he was familiar with. (This can be seen in the All Star Game for example, where the catcher looks nowhere near as comfortable as normal receiving the pitch).
If either player traded to another team, and ended up facing each other, would the catcher have an advantage when batting as he would be able to spot the pitches much better than a batter who might only face the pitcher a handful of times over the year?