Warren, same as when you asked before, this time with the ports switched, it would still be a Yes - it should work fine.
Note though, once you power off your Bartok, your Roon server will be completely inaccessible with no connectivity to the rest of your LAN, as the Bartok’s Ethernet port bridge terminates when there’s no power to the unit.
By the way, you will not experience any sonic benefit by setting it up this way; whatever “noise” you think is getting through one port will also makes it way through the other port.