The status and moves of a specific Pokémon cannot be viewed if that Pokémon is not available in the game title currently connected.
The visible status and moves of a specific Pokémon may vary between the Nintendo Switch and mobile versions of Pokémon HOME so please refer to the below details for more information.
<Nintendo Switch Version>
When connecting Pokémon HOME to specific game data, the status and moves visible are shown according to what they would be if that Pokémon were to be deposited into that save data.
Pokémon that do not appear in the game title currently connected will not have its status or moves displayed.
(Example: When Pokémon HOME is connected to Pokémon Legends: Arceus, you will be unable to see the detailed status or moves of a Zacian caught in Pokémon HOME).
Additionally, it is also possible to use Pokémon HOME without connecting to save data from a specific title. In this case, the status and moves visible will be identical to when connecting to Pokémon Sword & Shield, and so Pokémon that do not appear in these titles will not fully display status or moves.
<Mobile Version>
Pokémon will display the status and moves of the last title they were in. Pokémon transferred from Pokémon GO or moved from Pokémon Bank will show status and moves equivalent to Pokémon Sword & Shield.
*This includes Pokémon that do not appear in Pokémon Sword & Shield.