I think, but i'm not sure, that he's using 90DNS to block the connection to Nintendo Servers in order to not get banned in some way.
If that's the case, your CFW Switch won't allow you to open HOME, so there is no way to transfer the Pokémon from your hacked save file to HOME, and as @theSLAYERprev said, there is no way to transfer directly from PkHex to HOME.
The only method you can use is the one mentioned by TheSLAYER in the prev post, but that's assuming you can go online with your CFW Switch. If you want to do that, just keep a clean SysNAND (don't install NSP or XCI, don't change the theme ecc.). Obviously no one can assure you will not get banned.
You can also transfer the hacked pokemons through your main save file, if it's not your interest to keep that legit.
But maybe i have just misunderstood the post.