I can't answer that question but I can bring bad news for your AtherosE2200Ethernet v2.2.1. I got a Gigabyte GA-H77-D3H here, should be a Atheros AR8161 LAN chip. With the recommended ALXEthernet install from ##### 9.1.0 for Sierra I got the problem described here, where upon shutdown the system would reboot, displaying a message about a irregular shutdown. The system log would point at the ALXEthernet crashing. Otherwise that driver worked fine.
So now I am trying AtherosE2200Ethernet v2.2.0 and v2.2.1 with the latest macOS Sierra X.12.6. I am using Kext Utility to install v2.2.0/1 into S/L/E or L/E, but to no avail. There is no ethernet port in system preferences (as there usually is when you plug in the cable). Looking at system report -> extensions I can see the AtheroisE2200Ethernet, but it is not loaded. Probably because it is not signed?
Or do I have to install directly into the EFI partition? The ##### for Sierra tool does not seem to work like that, their stuff goes into L/E. For reference, AppleHDADisabler and VoodooHDA do work in these folders and they show in the list as not signed, yet loaded.
EDIT: Let me retract that. Some forum threads gave me the impression that my GA-H77-D3H Rev 1.0 hat the AR8161 chip. While the Rev 1.1 of that board might have that, the Rev 1.0 version appearantly has the AR8151 on board. As a result, AtherosL1cEthernet.kext installed into Clovers kext folder works fine, just as it did on El Capitan. As it does on the GA-Z77MX-D3H, just fyi.