Double base / errant throw redux

[Dakota]

Mike has provided us with the ASA teaching on "errant throw" as used in the rule on the double base at first. After several discussions here and on other boards (most recently on McGriffs), I think I may finally understand what ASA is trying to say...

The rule is not supposed to give the defense an extra long base to avoid what would have been a pulled foot to the foul side. Instead, it is intended to prevent collisions caused by a fielder (probably the fielder backing up the play - F9 or F2) grabbing an errant throw that F3 has missed and trying to scramble back to the white base across the path of the BR.

Therefore, if F3 pulls her foot & catches the ball, she must retouch on the white base.

However, if F3 misses the ball, and either she or another fielder snag it from foul territory, they are allowed to touch the orange base for the out.

Is that right?