Are there really good hitters who perform bad with runners on and bad hitters performing well with runners on?
Of course it can happen over a small sample that a good hitter hits balls at someone all the time with risp and a bad hitters getting some timely bloop hits and sometimes it is over a whole season but long term I would expect the good hitter getting the job done more often.
I wouldn't want a hitter to worry my hitters too much about runners, just wait for a good pitch to hit and drive it to the outfield, preferably on a line.