Does Run count?

[Dave Reed]

Other concrete differences:
The home run is a dead ball award, while the walk is live ball.
The home run is a multi base award (all runners are awarded home), while the walk is one base only.

Besides those concrete difference, note that during a dead ball award a put out is not possible, while during a walk award, by far the most likely scenario involves a put out - it is highly improbable that one base runner will pass another.
Since the two approved rulings involve specific examples, which need to be plausible, we should expect them to differ in the details of how outs are made.