NSPanel Pro V4.0.7 Optimized Version Released

Thank you very much for your kind recognition.

Launching installed apps:
Screen timeout while running Home Assistant:
Proximity sensor behavior:
Accessing the dropdown menu while running other apps:

I think above questions have been anwsered in NSPanel Pro Roadmap and Co-Created Future.

Auto-starting Home Assistant:
Is there a way to make Home Assistant start automatically after a reboot?

Yes, you can set Home Assistant companion app as the Home App, aka Launcher right in Home Assistant companion app, just go to Settings -> Companion app -> enable "Allow as home app" -> "Change home app" to Home Assistant. But doing so before v4.2.0 firmware will lose all the goodies NSPanelPro App provides, such as Zigbee hub or router, eWeLink-Remote gateway.