That is the interpretation as I understand it. In order for the throw to be interfered with, it must be a "quality throw". That is, one that has a reasonable chance of being fielded by the defender at first base. As far as the "reasonable-ness" of it being caught, give the benefit of the doubt to the defense.
If the throw gets airmailed over first base into right field, that's not a quality throw, thus the opportunity to make an out was not interfered with.
The only game I'm aware of that calls interference on a "non-quality" throw (a bad throw) is FED baseball. They have a ruling that if the batter-runner's presense out of the running lane causes the bad throw (really...how would the umpire know that for sure...) then it is interference. FED softball does not have this interpretation.
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