Final score approved?

[referee99]

Girls Var game tonight.

Home table was dodgy all night, but when final horn goes off, V wins by 1.
Partner and I head for the exits, stroll down the hall to the locker room, into coaches office and we're doing a quick debrief.

Knock, knock at the door, and its home coach. "Sorry to interrupt, but my scorekeeper just tallied up the score and she shows it to be a tie score."

My partner (the R), starts getting antsy, realizing he didn't wait for the book to tally at the end of the game, and to ensure all was good prior to departing. He wants to leave to check the visitors book, etc.

I tell him that we no longer have any authority over this (that) game. We have left the visual confines and the game is over.

Ultimately he finds the visitor book person and they have the correct and final score, end of story.

My question is this: if what the book says is the official result, if in our sitch the book showed had showed the home team winning, but scoreboard showed visitors winning, and we 'approve the final score' by leaving the visual confines... which score have we approved?