Yes, I forgot to tell you about one thing.
Their path is stored in the database of "old" website - in SPPB tabeles.
That's why we always recommend using Akeeba Backup to migrate websites from A to B.
Or at least use PHPMyAdmin to copy all SPPB tables from database A to B.
Anyway....
you still should be able to see them, but you have to make few clicks more.
And yes, all new uploaded images will apear in Media tab - like it was before.
So you can migrate database tables and have as it was before, or new beginning.