Logbook: Use actual states for update entities instead of "turned on" or "turned off"

[NoRi2909]

Describe the issue you are experiencing

For update entities the logbook entries don't reflect the actual states which creates the hard to understand relation that

off  =  up-to-date

which is technically correct but in the More info dialog with History and Logbook side-by-side it looks very confusing:

While the state in History is correctly mapped to as "Up-to-date" or "Update available" from

https://github.com/home-assistant/core/blob/efa86293aa47f8f7b5395cd0b48f72ea8002b674/homeassistant/components/update/strings.json#L13-L15

the Logbook entries contain only the generic states "turned off" and "turned on".

While this is already quite inconsistent in English it gets really confusing in translations like in German where "turned off" is more like "was turned off" ("wurde ausgeschaltet").

Describe the behavior you expected

Would be cool to see these use the customs states for the entities. The string to hold those is already present here:

frontend/src/translations/en.json

Line 482 in 89dc1a7

"changed_to_state": "changed to {state}",

so we'd have

 changed to Up-to-date
 changed to Update available

What version of Home Assistant Core has the issue?

core-2024.11.2

[NoRi2909]

Here the opposite where it should say "Changed to Update available":