Look, for me the final nail in the coffin of First Chance Averages as a useful measure is that you can't take them at face value. Sure, scorebook averages don't tell you anything like the full story in terms of how they achieved that score, but you know absolutely how the formula is derived. A scorebook score (if that expression makes sense) is a known quantity - it is how many runs a player scored before they were given out by the umpire. There are many nuances not conveyed in that, including whether the decision to dismiss him was correct, but the facts of the matter are clear, ie. he was given out on this score.
First chance scores don't have that certainty. I know that whenever I saw a first chance score that differed from the scorebook score, ie. where some anonymous statistician, inured and insulated from review or accountability for their judgements in a manner very unlike the professional umpires who actually officiate the game, I'd want to review the "chance" myself to be satisfied as to whether the 'chance' was indeed "out". Now, if I'm going to have to do that regularly when reviewing first chance scores, then it's a stat that doesn't offer much of a practical advance in terms of being able to get an impression of what's occurred without watching the innings myself. And given there are some decisions that people divide into two camps over and frequently cannot be persuaded towards an agreement, you're going to end up with stats that are not universally accepted, and which will therefore be good for little than your own private amusement...