All the spatial persistence stuff was handled by the desktop database which was an invisible file that got stored on the disk. Hard drives and floppies each had their own so that if you shared a floppy with a friend the spatial properties of the floppy would travel with it. This also worked if you moved a hard drive from one system to another for the same reason.
It also worked over AppleShare network file sharing. Where it didn’t work was if you had 2 different computers since there was no way to sync information between them. You essentially treated each computer as its own thing which is really more in keeping with the spirit of spatial design. After all, it would be really weird if 2 different drawers in different rooms in your house somehow always had identical contents which stayed in sync.