Each ADAT optical connector on the rear of each ADAT will only send 8 channels of digital audio. If you wanted to capture or run all three ADAT's at the same time you will need some sort of PCI card (RME ) that accepts at least three ADAT optical connectors. Each ADAT needs to connect to the PCI card for a total of 3 optical connectors or 24 tracks in total. This card is around $1000 though whereas the MOTU option at 24 IN/OUT is only around $1400 which seems a better option to me.
I still think it is time to put ADAT's to bed now. There are much more elegant solutions.