Appeal of a 3rd out - does run score?

[greymule]

As long as we're on the subject: in ASA (except where running is not required), appeals of multiple errors must sometimes be in the correct order to nullify runs.

Bases loaded, 1 out. Batter hits a ball over the fence and misses 1B on the way around. Runner from 1B also misses 2B. To nullify the runs in ASA, the defense must first appeal the miss of 2B and then the miss of 1B. If the defense first appeals 1B, the subsequent out at 2B would not be a force out, and the first two runs would count. (NCAA is apparently the same, though I haven't seen an actual case play. Don't know about Fed softball. In baseball, the order of appeals would not matter in this case, thought it would in others.)