[Al Skierkiewicz]

Adam,
Unfortunately, your link goes to a Digikey search page and not the part in question. I think what you may be asking is related to switch design. Frequently, switches which have three positions (handle/actuator) have a "center off" and are listed as ON-OFF-ON. In the switch you describe, there are three positions with no "center off" and those would be listed as ON-ON-ON. In your description the switch could have 16 terminals. The three positions would connect first, rows 1 to 2, then second, rows 2 to 3 and finally rows 3 to 4 for each pole. I have seen switches that have one common row that connects to each of the three active rows, but those are rare and expensive, almost custom.