Update:
Booth these commands appear to be working perfectly.
netsh interface ip add dnsservers "Ethernet" address=1.0.0.1 index=1
netsh interface ip add dnsservers "Ethernet" address=1.1.1.1 index=1
netsh interface ipv4 add dnsservers "Ethernet" address=1.1.1.1
netsh interface ipv4 add dnsservers "Ethernet" address=1.0.0.1