Synchro connections to SDC1741

In one of our applications, we have a single synchro sensor operating at 50Hz. The outputs from the synchro are connected to dual computers, each one having SDC1741 on board.

Dual computers have individual power control. We are experiencing a unique problem. When we power cycle one of the computer, the live system's SDC counts changes drastically.

Can you explain why and is it right to connect synchro to dual system? Should the connection be always point to point