Allow overriding the translated home state globally

[nicknol]

Describe your core improvement

Provide a supported, centralized way to override the display text of common entity states, at least for the home state.

For example, a configuration such as:

homeassistant:
state_labels:
home: "Sweet Home"

or an equivalent UI/configuration mechanism would allow:

internal state: home
displayed state: Sweet Home

The internal state must remain home, so existing automations and integrations continue to work unchanged.

Requirements

The solution should:

keep the actual state as home;
affect the displayed state only;
be centrally configurable;
apply to all relevant entities using the common home state;
not require template sensors;
not require changing every entity individually;
not require modifying Core or frontend translation files;
survive Home Assistant updates.

Current limitations

For device_tracker entities, the internal state is home when the tracked device is connected to the home network.

In the German UI, this state is displayed as „Zuhause“.

The current implementation uses the common translated state:

device_tracker
→ common::state::home
→ localized translation

This means that the displayed text is globally determined by Home Assistant's translation and cannot currently be customized by the user.

The Home name setting does not change this displayed state. It is therefore not possible to use a custom name such as „Sweet Home“ for the displayed home state of device trackers.

Technical benefits

No frontend tricks and templates needed to display the wanted Home name.

Additional context

Example use case

A user may want the German UI to display:

Wohnzimmer-Telefon
Sweet Home

instead of:

Wohnzimmer-Telefon
Zuhause

while the actual entity state remains:

home

This would also be useful for users who want terminology different from the built-in translations without having to maintain custom frontend modifications.