And, for all you sub-V/JV officials out there just starting out and/or doing Rec Ball, CYO, 5th and 6th graders or whatever, you are going to have to decide how you want to handle this yourself.
We have discussed what the rule book says, some interpretations, and interesting chat. As with other posts, you should take these and other scenarios and discussions and put it in your "kit bag" for those times where - there is no TOL on the scoreboard, the scorekeeper doesn't voluntarily tell you or show you, an F coach or volunteer dad doesn't have 8 assistants, the books disagree, teenagers are novices and doing their best and forget to record one, etc.
Just my $.02 for the rookies, newbies, and junior leagues (like I sometimes officiate).