TR: I'm glad you weren't referring to me.
My kids are on spring break (me, too), the temperature in Chicagoland will approach 80 degrees for the second day in a row
and rain isn't forecast until tonight! I'm plenty relaxed!!!!
But statistics DO matter---maybe not to those who are true prospects---everyone can see how hard they hit the ball...but stats do matter for those whose kids have a shot at "local celebrity"--local "all-area" or (small, meaningless) "all-conference" or "all-whatever". And that is as far as they will go. No scouts will watch them (even if the scouts are there scouting someone else on the team). That's the time the scouts will grab a pop or a pretzel...when the non-prospects are at the plate. Or pitching. The guns are not even brought out, even though the pitcher may be more effective than who they are scouting.
Here's how the local paper in my little corner of the world lists their "all-area" players. The hs coach sends a roster with the stats listed. The paper chooses anyone with a particular batting average, who also played in a set number of games. Again, this may be the only chance for local stardom a kid has---the chance to clip the paper and send it to relatives outside of the readership area. Of course they know they aren't All-State material. (But even they are often sight unseen, visible only by their statistics.)
Even at small D3 schools there is a spot to list a potential player's batting averages on the recruiting form. I have never seen a spot titled "Hit it really hard, but it was right at someone", or "Hit a screamer but the fielder made an unbelievable play." Yes. The scouts and coaches know the difference.
TR, I do understand your suggestion that parents chill out about statistics. We have seen way too many parents go totally overboard. But please understand that statistics are important to alot of players who know they aren't going anywhere but college--to get an education and maybe be able to play a little baseball on a nice spring day.