A router does not and cannot "fetch" the name you have given your iPhone in its settings (e.g., "Julian's iPhone").
This is an intentional privacy and security feature designed by Apple. Here’s a detailed explanation of why this happens and what the router sees instead.
Why Your iPhone's Name is Kept Private
The name you set in Settings > General > About > Name is primarily for your personal convenience and for trusted Apple services. It's used for:
- AirDrop: To identify your device to other Apple users nearby.
- Find My: To label your device on the map.
- iCloud: To show which devices are linked to your account.
- Personal Hotspot: To name your hotspot's network.
Broadcasting this personal name to every Wi-Fi network you connect to would be a significant privacy risk. It could allow network operators to easily identify you and track your presence. To prevent this, iOS does not send this name to the router during the connection process.