Obstruction Rule application

[WestMichBlue]

Bringing an obstruction issue over from another board. Using ASA rules, though I suspect that your answer will be applicable to any rule set.
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Question: Is the obstruction rule, including penalties and exceptions, applied equally regardless of how a put out is made by the defense?

Situation: Batter-Runner is obstructed between home and 1B. Prior to reaching 1B the B-R is put out by the defense by:

a) tagging her with the ball
b) throwing to 1B
c) catching her fly ball.

The rule states that an obstructed runner cannot be put out between the bases which she was obstructed. Is that always true in a, b, and c?

The rule states that if an obstructed runner is put out prior to reaching the base which would have been reached had they not been obstructed - (call dead ball and award the base.)

In c) would you interpret the above to mean that the B-R would not have "reached" (achieved, had a legal right to, etc) because of the fly ball? Or that "reached" simply meant had the ability to physically travel that far?

In the simpliest form: Does a fly ball negate obstruction? Or has the defense lost an out because of obstruction?

WMB