From Bulbapedia: "The Pokémon Company has sent out an alert to Pokémon Home users warning them that the upcoming June update will end the mobile app's compatibility with older models of certain smartphones."
A new list is available that outlines every Pokemon users can send to Pokemon Scarlet and Pokemon Violet from Pokemon Home.
Pokemon Home has received a new 2.0.1 update, and patch notes have been shared for the Switch and mobile versions.
Nintendo has announced Pokemon Home BDSP and Arceus compatibility are coming in the app's next update, allowing you to store 'mons from both games.