The fact that most lags are not close means it's not a good indicator of skill and pretty random.
Define "close" and in what setting? The reason I ask is "close" is a very subjective idea.
Just for funsies I took a couple of minutes to try to track down a full pro tournament bracket that included scores. The first one I found was for The 2023 American Straight Pool Championship (
https://americanstraightpool.com/.) I'm sure there are more out there but I didn't want to spend all night searching for something that might not be out there. Anyway, the average margin of victory on the winner's side was 73.53 points going to 150. (I didn't do the loser's side because they played to 125 and it would have skewed the average.) We're not talking about Billy Bob who "paid his way through college" here. These are some of the best straight pool players in the world. And yes, I understand how straight pool works and that once a player gets a shot, they're very capable of running 150 and out. But my point and question is this: Was the average match during this tournament close enough to warrant it being an adequate test of skill? And I'd bet most tournaments have set results similar to these. Hill/Hill isn't as common in nine ball as 13-6 or a similar score.
I prefer a coin flip, too. But where it's required the lag is fine as it is.