You are arguing a non sequitur. BA with RISP is a rate that is not dependent on how many times a player gets up with runners on base. You are confusing it with RBI totals, which is not a rate, but an accumulation.
Nobody is saying Drew is responsible for putting other guys on base. It's what he does when they are on base that is the problem. Most guys knock them in at a better rate than Drew. That is a fact.