Bandit..........I have had this happen. F3 never made a live ball appeal....and the BR returned safely......not a peep from anyone. If they would have said something.....I could say........See the POE #1 Appeals-L. (I know this is a FED quesion, but their appeal rules are the same).
This is the proper mechanic for this play from ASA to Proffesional baseball. The runner is assumed to have touched a base once they pass it but may be put out on proper appeal.
In this case.......if F3 touches the BR before they return to first or if for some reason, the BR advances to 2nd a dead ball appeal may also be made.
I have seen umpires get red in the face debating this rule, but what you went over is the proper interpretation in all levels of BB and SB.
You are now ready for it when it happens.
Joel