Ok, please cite section in the rule book that states the above.
Comp pretty well answered this. But if we were to interpret the rule you quoted the way you're interpreting it, then how would you rule on this play:
Runner on first. Batter safely hits to the outfield. As R1 advances to third, the ball is thrown there. The ball hits the runner in the back before F5 can catch it and rolls into foul territory. R1 continues to home and the batter-runner goes into second base.
Do you have R1 out for interference? The runner was touched by the thrown ball and that not only may have prevented an out, but also allowed the runners to take an extra base. Have you ever seen interference called on a play like that? I would hope not!
There's a different standard for interfering with the actual fielder herself, with a batted ball or with a thrown ball. For interference with a thrown ball, the runner needs to be doing something other than just running the bases in a normal, expected, legal manner.