🅰️ No, you do not.
The Personal Hotspot name (Wi-Fi name) and password are based on the smartphone device settings, not the SIM card settings.
Therefore, regardless of how many SIM cards or eSIMs are installed on your phone:
✔ The Personal Hotspot name and password are shared device settings and do not need to be configured separately.
⚠️ The setting that needs to be configured individually for each SIM card or eSIM is the Personal Hotspot APN.