interesting looking tool. I’ll check it out, especially since it’s free!
Your router is merging the requests from all the machines on your home network, and then splitting the returning results so they go to the correct machine.
My first thought is to either export the report the router makes and run a report generator on that file, to get IP names rather than addresses. Another thought is to configure an instance of linux to be your local router (using iptables), and have your hand-built router create the log files. I'm thinking this approach is already written by others; probably tens of variations to choose between.