In USA, and now apparently NFHS, the award is to the batter and the batter alone. The only reason there is any protection to any other runner (to the next base only) is because they are being forced to move up. The runner is not rewarded for a ball to the batter
You wont find it in the rules because no rule has changed, only the approved ruling has changed and the case play has been posted.they are not entitlement to be put out when they are required the next base on a walk so the run should count
From the 2019 Case Book (NFHS) page 71
9.1.1 Situation D:
With two outs R1, R2, R3 on base, B6 receives ball four. R3 touches second and is tagged off base before R1 has reached home base. RULING: Although the batter is awarded first base, all other runners are entitled to advance one base without liability to be put out. Once R3 passed second base, she is now liable to be put out. If this happens for the third out of the inning prior to R1 touching home, R1's run would not count. (2-63, 2-65, 8-1-1c, 8-4-3a, 9-1-1)
The idea is that B6 is awarded 1 base. All other runners, since forced, are allowed to advance 1 base but those bases are not awarded bases. Therefore if out 3 occurs before R1 scores then the inning ends before the run scores.