Very good point. I had a very strict scorekeeper this year, and I'd bet a couple of parents would be stunned to learn how few real hits their DD actually had.
I'm all for accurate scorekeeping. Some of the strict scorekeepers are not accurate, though, IMO. If the batter touches first base before the ball arrives (if the fielder made a clean stop and throw), it's a hit whether or not 1B catches the ball. With strict scorekeepers, fast runners can be shorted on their hits.