This is normal behavior and shouldn't affect your connection.

The cable itself doesn't have an identity - Windows identifies networks by the router/gateway MAC address. If you're connecting to the same router, Windows will recognize it as the same network regardless of cable quality.

Hi, I'm Rodrigo and I will help you.
As stated, the cable doesn't have an identification on the network, the only difference you will see changing the cable to a better one is better stability and speeds if your previous cable could not reach the maximum supported link speed for your connection.