If you are going to use a computer/smartphone etc to monitor/control functions of your conductor, it will need to be connected to your network, either hard wired or wireless..
Otherwise conductor straight to slave would be in adhoc mode and they will only talk to each other and nothing else - so you would not be able to the the PC control panel software to sync the time, disable it etc.....
I am going to assume the sync signal is a output multicast as one conductor can sync many slaves.
Again, perty uch anything can be used to get the signal from one device to another, wireless - a router if you already have one will work, a AP - which just relays wireless to other devices connected to it, or adhoc which is single device to single device.
adhoc was designed to allow like laptop to laptop connection without a router/AP - single point to single point
Myk