I wouldn't say that. There is still plenty of correlation between BA, RS, RBI, etc. The top run-scoring teams tend to have the highest BA (along with OPS, obviously).
No standard stat will ever tell you everything, that's the whole point of sabermetrics. I still don't get why you are on such a crusade against BA. It's just as valid/useful as OBP, SLG, OPS, etc. It tells us, better than any other stat, how good of a contact hitter someone is (along with strikeout rates).
I personally like guys who hit for a high average. I LIKE hits, I'd rather a guy get on base via a hit than a walk because he makes the defense work, has a better shot a driving in runs, etc. Enough of these Adam Dunn vs Ichiro examples. It's a useful stats in many many situations (like when comparing a Pujols/Manny hitter with a Dunn type hitter. Pure hitter vs power hitter, etc).