There is no effective concept of a "fallback DNS server", and if you have a second DNS server listed in the router (that is not a Pi-Hole), then some of your network traffic will route to that DNS and bypass Pi-Hole.
There is no effective concept of a "fallback DNS server", and if you have a second DNS server listed in the router (that is not a Pi-Hole), then some of your network traffic will route to that DNS and bypass Pi-Hole.