Depends mostly on jitter. If you are using a USB interface or S/PDIF now and go to an integrated Ethernet interface, the jitter may be lower. It is on my products. With Ethernet though, you must ground the DC common on your router if you go wired.
If you are still using USB, then all bets are off. The software typically is too involved with volume control DSP etc..
Steve N.
Empirical Audio