When you connect using your NordVPN account the resolver will change - and when you disconnect the resolver will be reset to your router.
If you want your system to use other nameservers than your ISP provided (through the router) you will have to create a drop-in config for the resolver to use. Just like it is possible to change the fallback servers.
[mike@mbbrady ~]$ resolvectl status
Global
Protocols: +LLMNR +mDNS -DNSOverTLS DNSSEC=no/unsupported
resolv.conf mode: stub
Current DNS Server: 208.67.222.222
DNS Servers: 208.67.222.222 208.67.220.220
Fallback DNS Servers: 9.9.9.9#dns.quad9.net 8.8.8.8#dns.google
2620:fe::9#dns.quad9.net 2001:4860:4860::8888#dns.google
DNS Domain: ~.
Link 2 (enp34s0)
Current Scopes: DNS LLMNR/IPv4 LLMNR/IPv6
Protocols: +DefaultRoute +LLMNR -mDNS -DNSOverTLS DNSSEC=no/unsupported
Current DNS Server: 192.168.1.1
DNS Servers: 192.168.1.1 2600:4040:2017:6c00::1
DNS Domain: myfiosgateway.com
Apart from assigning a static IP/24 or changing your routers DNS configuration to use specific servers - there is no way of avoiding the DHCP assigned DNS from the router.