Bench Personnel / Player

[pavbref]

The term player would cover any person currently active on the playing court. Everyone else would be bench personal. This would include all coaches, managers, and trainers as well as anyone not currently authorized to be on the playing surface. In your OP, H1 was a player at the end of the set, and a substitute for H2 in the second situation. Because the second situation had H2 committing the offense, it did not matter what had happened before with H1. If the offending person was on the bench --i.e a player, coach, manager, or trainer, the resulting sanction would have caused the Head Coach to lose their privilege to stand as they did not control the actions of the bench personnel.