I understand now what you are trying to do. There are couple of ways to keep your Muon Ethernet cable. You can buy a cheap Ethernet coupler (may degrade the sound) or buy a Ethernet Isolator.
https://www.amazon.com/EverStar-Metallic-EN60601-1-Healthcare-Believing/dp/B0B96KBLWK/ref=sr_1_2?crid=2VPDXD5HBAAFL&keywords=ethernet+isolator&qid=1666181231&qu=eyJxc2MiOiIzLjI1IiwicXNhIjoiMi43NiIsInFzcCI6IjIuMTMifQ%3D%3D&sprefix=Ethernet+isola%2Caps%2C747&sr=8-2&ufe=app_do%3Aamzn1.fos.18ed3cb5-28d5-4975-8bc7-93deae8f9840
Alternatively, you can go direct into Muon filter with Supra. I believe Rich mentioned to me that the LAN after Muon / ENO filter is more impactful than the one before entering the filter assembly.