Tim:
J/R does not agree with you. page 86:
V. A runner who touches home with the apparent winning run does not terminate the game.
1. A subsequent out is possible. If such an out, pursuant to these rules, prevents the 'winning runner' from being a run, the game continues.
Rule:
4.09a1, b: There cannot be a run if a runner has touched (or passed) home base, but there is related action wherein D. the third out is the batter/runner before touching (or passing) first base...
..and just in practical terms, a player who is hugging and mobbing his teammates in the middle of the field meets my criteria of 'not attempting to reach his next base.' You cannot wait there all day/night for him to eventually find hisself some DBT so you can ring him up
