Would you explain what those "meaningful measuments" are? The only statistical defensive measurements made on position players are errors, putouts, and assist; all of which are also applied to catchers.
I don’t know about Rob, but I track something to try to quantify fielders and how they figure into the defense. “TOUCHES”. In general a touch is when a player has the opportunity to make an error but doesn’t. FI, A line drive up the middle for a single gives the F8 a touch. A pickoff attempt gives the thrower and the receiver a touch. An infield hit the F5 can’t make a play on is a touch. I realize it would be next to impossible to get EVERY possible situation where an error could be made, but I find this one interesting.
I also do range factors, but it’s the rare bird in HS who understands Range Factors, and for sure since I never heard of anyone else doing touches, they couldn’t be used either. Double plays are also kept, but again, that doesn’t really tell a lot either.