Example 1: a person in a halal state is outside ihram.
Example 2: halal meat describes meat that is lawful to eat.
The text says إِذَا ذَبَحَهُ الْحَلَالُ
Translation: when a person outside ihram slaughters it.
The noun here denotes the actor, not the edibility of meat. One should not infer from the wording that the slaughter itself is automatically permitted.