I've of the gut opinion (no statistical analysis done) that the developers have been honest on this one (and that they know how the game works in this regard) so batting eye impacts more than merely walks drawn.
For the ratings you've provided and the way you've phrased the question, I expect you to be disappointed from that player's offensive production. His best (and only truly elite) rating is (IMO) the least important (vLH). The two most important ratings (again, just IMO) for elite hitters are Power and Eye, neither of which is elite. the vR is very good, though perhaps not quite elite. The Contact too, is solid, but not elite.
All told, you have a good above average bat there, but I wouldn't expect truly special numbers out of him without some help from the home park or dead teams in the World.