The first time it happened (2023) it was a non-issue; he did exactly as you said, appointment happened as planned, and then he was back on his scheduled plane trip a week later.
Everything post-2025 has been a shit-show. There's no predictability or clear guidance, either from our lawyers or from the state department.
Predictability matters a lot in business. If you know what the procedure is and how long it will take, you can plan around it. If the rules change in the middle of the game you're left scrambling to keep up.