Thanks for the reply! Not sure I follow....
If the router was configured to push the client's DNS to that of Pi Hole, then you're saying I would need to have my router's DNS pointed to Cloudfare? That doesn't make sense to me because the rotuer, providing DHCP would be using the same DNS settings that it sent to the client, right?
Running Ubiquiti UDM Pro, I have the option to specify 4 different DNS servers to use.
If Pi Hole pointed to Cloudfare as well as the local router, wouldn't it still resolve local hostnames on my local network? If the machine attempted to resolve via Cloudfare, of course it would fail, but then it would attempt the alternate DNS server right?