Safe on 2nd, goes back to 1st

[voiceoflg]

OBR. But I'd like to see the FED rule.

R1 & R2. Double steal, F1 throws to F5 on a pickoff attempt. R2 caught in a rundown goes back to 2nd. R1 arrives at 2nd. R1 called out. R2 thinking he is out jogs toward the dugout. 1st base coach tells R2 the ball is live and to get on the bag at first. R2 arrives safely at 1st and remains there for the next pitch.

I looked up "running bases in reverse order" on the internet, because they can't put anything on the internet that isn't true (insert sarcasm emoticon here). I was surprised to find the word "myth" come up often. That very scenario was allowed in Milwaukee Friday night. Since I broadcast high school games, in the unlikely event I see something similar, would running back to first after legally acquiring second be allowed in FED rules?