How do HOME tracker values work?

[qj14]

Do they only generate if you transport the Gen 8/9 Pokémon into HOME, or some other way? (e.g if I would catch a Machamp in Sword, would it instantly get an assigned HOME tracker value, or only when I'd transfer it to HOME?)

I just want to transfer my FR/LG Pokémon (and soon any other Pokémon from Gen 4, 5, etc.) directly into Gen 8/9 with PkHex, however, I don't have emulators, nor a DS or 3DS with their respective softwares and games to somehow get my Pokémon over to transfer them "traditionally." 

Hypothetically, if i were to transfer a Pokémon from a Gen 3 save directly to a Gen 8/9 save (of course first I would change the file variation first,) and transfer it to HOME, it would still generate the tracker value for said Pokémon, right?

 

 

[BlackShark]

Read this

The HOME tracker is assigned when a Pokemon enters HOME from it's origin game. So a Pokemon caught in Sword needs to enter from SwSh. A Pokemon from Gen 3 - 7 needs to enter through Bank, for which you need to have an ongoing subscription since it's no longer available for purchase.

HOME will block your Gen 3 - 7 mons if you have moved them to Gen 8/9 though PKHeX.